On Coding by (2,q)-Distance Fibonacci Numbers
In 2006, A. Stakhov introduced a new coding/decoding process based on generating matrices of the Fibonacci p-numbers, which he called the Fibonacci coding/decoding method. Stakhov’s papers have motivated many other scientists to seek certain generalizations by introducing new additional coefficients...
Saved in:
| Published in: | Mathematics (Basel) Vol. 8; no. 11; p. 2058 |
|---|---|
| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Basel
MDPI AG
01.11.2020
|
| Subjects: | |
| ISSN: | 2227-7390, 2227-7390 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | In 2006, A. Stakhov introduced a new coding/decoding process based on generating matrices of the Fibonacci p-numbers, which he called the Fibonacci coding/decoding method. Stakhov’s papers have motivated many other scientists to seek certain generalizations by introducing new additional coefficients into recurrence of Fibonacci p-numbers. In 2013, I. Włoch et al. studied (2,q)-distance Fibonacci numbers F2(q,n) and found some of their combinatorial properties. In this paper, we state a new coding theory based on the sequence (Tq(n))n=−∞∞, which is an extension of Włoch’s sequence (F2(q,n))n=0∞. |
|---|---|
| AbstractList | In 2006, A. Stakhov introduced a new coding/decoding process based on generating matrices of the Fibonacci p-numbers, which he called the Fibonacci coding/decoding method. Stakhov’s papers have motivated many other scientists to seek certain generalizations by introducing new additional coefficients into recurrence of Fibonacci p-numbers. In 2013, I. Włoch et al. studied (2,q) -distance Fibonacci numbers F2(q,n) and found some of their combinatorial properties. In this paper, we state a new coding theory based on the sequence (Tq(n))n=−∞∞ , which is an extension of Włoch’s sequence (F2(q,n))n=0∞ . In 2006, A. Stakhov introduced a new coding/decoding process based on generating matrices of the Fibonacci p-numbers, which he called the Fibonacci coding/decoding method. Stakhov’s papers have motivated many other scientists to seek certain generalizations by introducing new additional coefficients into recurrence of Fibonacci p-numbers. In 2013, I. Włoch et al. studied(2,q)-distance Fibonacci numbersF2(q,n)and found some of their combinatorial properties. In this paper, we state a new coding theory based on the sequence(Tq(n))n=−∞∞, which is an extension of Włoch’s sequence(F2(q,n))n=0∞. |
| Author | Trojovský, Pavel Matoušová, Ivana |
| Author_xml | – sequence: 1 givenname: Ivana orcidid: 0000-0002-7752-5310 surname: Matoušová fullname: Matoušová, Ivana – sequence: 2 givenname: Pavel orcidid: 0000-0001-8992-125X surname: Trojovský fullname: Trojovský, Pavel |
| BookMark | eNptkEFLAzEQhYMoqLUn_8CCF0VXk8lmN3uUarVQ7EXPIZtNakqbtEl66L83WhER5zLD8OabxztFh847jdA5wbeUtvhuJdM7JwQw4wfoBACassn7w1_zMRrGuMC5WkJ51Z6gcuaKke-tmxfdrriEm81V-WBjkk7pYmw776RStnjZrjod4hk6MnIZ9fC7D9Db-PF19FxOZ0-T0f20VLSuUgm6Bq41q4E2FTEME143VaUbIJXua6X6moEyreZcssaYXlIiMQbWEYUlV3SAJntu7-VCrINdybATXlrxtfBhLmRIVi21gK7umemYwQ3LcOAcTAsV9K3knVYmsy72rHXwm62OSSz8NrhsX0CVfVLeYp5V13uVCj7GoM3PV4LFZ7ziV7xZTf6olU0yWe9SkHb5780HkIN8UA |
| CitedBy_id | crossref_primary_10_3390_app12189163 crossref_primary_10_3390_math10122065 crossref_primary_10_3390_axioms13070420 crossref_primary_10_3390_math10030386 crossref_primary_10_3390_sym13112075 |
| Cites_doi | 10.1080/00029890.1951.11999661 10.1142/S1793830911001097 10.1007/s12190-019-01240-7 10.3390/sym11101195 10.1155/2013/204674 10.1155/2014/428020 10.1016/j.chaos.2009.03.197 10.1007/s12095-015-0178-x 10.1007/978-3-0348-8107-4 10.3390/math8091487 10.1501/Commua1_0000000863 10.1016/0898-1221(89)90252-6 10.1016/j.chaos.2011.01.003 10.1080/00207390600712554 10.1016/j.cam.2006.10.071 10.1016/j.dam.2013.05.029 10.1186/s13662-019-2327-6 10.1016/j.amc.2011.05.022 10.1016/j.dam.2018.03.002 10.1016/j.chaos.2007.09.071 10.1063/1.5012181 10.3390/math7010074 10.1017/CBO9780511566042 10.1016/j.chaos.2005.12.054 10.1080/00029890.1961.11989696 10.3390/math8081387 10.1142/S1793830919500265 10.1002/9781118033067 10.1080/00029890.1960.11989593 10.3390/math7090805 |
| ContentType | Journal Article |
| Copyright | 2020. This work is licensed under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: 2020. This work is licensed under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | AAYXX CITATION 3V. 7SC 7TB 7XB 8AL 8FD 8FE 8FG 8FK ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO FR3 GNUQQ HCIFZ JQ2 K7- KR7 L6V L7M L~C L~D M0N M7S P62 PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U DOA |
| DOI | 10.3390/math8112058 |
| DatabaseName | CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts ProQuest Central (purchase pre-March 2016) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Database Suite (ProQuest) ProQuest Technology Collection ProQuest One Community College ProQuest Central Korea Engineering Research Database ProQuest Central Student SciTech Collection (ProQuest) ProQuest Computer Science Collection Computer Science Database (ProQuest) Civil Engineering Abstracts ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Computing Database Engineering Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic (New) Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic DOAJ: Directory of Open Access Journal (DOAJ) |
| DatabaseTitle | CrossRef Publicly Available Content Database Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Advanced Technologies Database with Aerospace Engineering Collection Advanced Technologies & Aerospace Collection Civil Engineering Abstracts ProQuest Computing Engineering Database ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Computer and Information Systems Abstracts Professional ProQuest One Academic UKI Edition Materials Science & Engineering Collection Engineering Research Database ProQuest One Academic ProQuest One Academic (New) ProQuest Central (Alumni) |
| DatabaseTitleList | Publicly Available Content Database CrossRef |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 2227-7390 |
| ExternalDocumentID | oai_doaj_org_article_2b6d5fb5f0754ed2882f9242d9a8becf 10_3390_math8112058 |
| GroupedDBID | -~X 5VS 85S 8FE 8FG AADQD AAFWJ AAYXX ABDBF ABJCF ABPPZ ABUWG ACIPV ACIWK ADBBV AFFHD AFKRA AFPKN AFZYC ALMA_UNASSIGNED_HOLDINGS AMVHM ARAPS AZQEC BCNDV BENPR BGLVJ BPHCQ CCPQU CITATION DWQXO GNUQQ GROUPED_DOAJ HCIFZ IAO K6V K7- KQ8 L6V M7S MODMG M~E OK1 PHGZM PHGZT PIMPY PQGLB PQQKQ PROAC PTHSS RNS 3V. 7SC 7TB 7XB 8AL 8FD 8FK FR3 JQ2 KR7 L7M L~C L~D M0N P62 PKEHL PQEST PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c364t-2e628ee5623741f50186744e7214ed6ccd652cf9e88a57ffda31a0025b1c0a8c3 |
| IEDL.DBID | M7S |
| ISICitedReferencesCount | 5 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000593345200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 2227-7390 |
| IngestDate | Tue Oct 14 18:56:02 EDT 2025 Fri Jul 25 12:00:53 EDT 2025 Tue Nov 18 21:55:15 EST 2025 Sat Nov 29 07:08:41 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 11 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c364t-2e628ee5623741f50186744e7214ed6ccd652cf9e88a57ffda31a0025b1c0a8c3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0001-8992-125X 0000-0002-7752-5310 |
| OpenAccessLink | https://www.proquest.com/docview/2462838908?pq-origsite=%requestingapplication% |
| PQID | 2462838908 |
| PQPubID | 2032364 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_2b6d5fb5f0754ed2882f9242d9a8becf proquest_journals_2462838908 crossref_primary_10_3390_math8112058 crossref_citationtrail_10_3390_math8112058 |
| PublicationCentury | 2000 |
| PublicationDate | 2020-11-01 |
| PublicationDateYYYYMMDD | 2020-11-01 |
| PublicationDate_xml | – month: 11 year: 2020 text: 2020-11-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Basel |
| PublicationPlace_xml | – name: Basel |
| PublicationTitle | Mathematics (Basel) |
| PublicationYear | 2020 |
| Publisher | MDPI AG |
| Publisher_xml | – name: MDPI AG |
| References | Bednarz (ref_40) 2015; 118 Kilic (ref_7) 2007; 209 Stakhov (ref_17) 1989; 17 Prasad (ref_33) 2019; 12 ref_13 Perrin (ref_14) 1899; 6 ref_12 ref_11 ref_10 ref_54 Esmaeili (ref_28) 2017; 9 Stakhov (ref_23) 2006; 30 ref_19 Sompong (ref_51) 2017; 1905 ref_15 Prasad (ref_29) 2018; 13 (ref_53) 2018; 67 Gabai (ref_6) 1970; 8 Deveci (ref_35) 2017; 46 Horadam (ref_5) 1961; 68 Tuglu (ref_26) 2011; 217 ref_21 Bednarz (ref_42) 2016; 129 Basu (ref_25) 2009; 42 Prasad (ref_32) 2019; 11 Basu (ref_27) 2011; 3 Bednarz (ref_34) 2013; 161 Fiorenza (ref_49) 2013; 2013 (ref_37) 2008; 48 Fiorenza (ref_48) 2011; 44 (ref_44) 2018; 243 Miles (ref_4) 1960; 67 ref_36 Kocer (ref_24) 2009; 40 Prasad (ref_30) 2019; 7 Basu (ref_55) 2017; 38 Bednarz (ref_38) 2013; 53 Brenner (ref_18) 1951; 58 Gould (ref_20) 1981; 19 Stakhov (ref_22) 1999; 9 Piejko (ref_45) 2013; 112 ref_47 ref_46 Marques (ref_9) 2019; 2019 Mousavi (ref_31) 2019; 61 Piejko (ref_39) 2014; 2014 Sokhuma (ref_50) 2013; 7 He (ref_52) 2018; 38 Shannon (ref_16) 2006; 37 ref_43 ref_1 ref_3 ref_2 (ref_41) 2015; 2015 ref_8 |
| References_xml | – volume: 58 start-page: 220 year: 1951 ident: ref_18 article-title: Lucas’ matrix. June meeting of Pacific northwest section, Abstract No. 1 publication-title: Am. Math. Mon. doi: 10.1080/00029890.1951.11999661 – volume: 3 start-page: 259 year: 2011 ident: ref_27 article-title: Coding Theory on the (m,t)-extension of the Fibonacci p-numbers publication-title: Discret. Math. Algorithms Appl. doi: 10.1142/S1793830911001097 – volume: 61 start-page: 101 year: 2019 ident: ref_31 article-title: Companion matrices and Golden-Fibonacci sequences publication-title: J. Appl. Math. Comput. doi: 10.1007/s12190-019-01240-7 – ident: ref_8 doi: 10.3390/sym11101195 – volume: 13 start-page: 73 year: 2018 ident: ref_29 article-title: Coding theory on balancing numbers publication-title: Int. J. Open Probl. Comput. Sci. Math. – volume: 2013 start-page: 204674 year: 2013 ident: ref_49 article-title: From Fibonacci Sequence to the Golden Ratio publication-title: J. Math. doi: 10.1155/2013/204674 – volume: 8 start-page: 31 year: 1970 ident: ref_6 article-title: Generalized Fibonacci k-sequences publication-title: Fibonacci Quart – volume: 2014 start-page: 428020 year: 2014 ident: ref_39 article-title: On k-Distance Pell Numbers in 3-Edge-Coloured Graphs publication-title: J. Appl. Math. doi: 10.1155/2014/428020 – volume: 42 start-page: 2522 year: 2009 ident: ref_25 article-title: Coding Theory on the m-extension of the Fibonacci p-numbers publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2009.03.197 – volume: 9 start-page: 379 year: 2017 ident: ref_28 article-title: Gulliver, T.A. A new class of Fibonacci sequence based error correcting codes publication-title: Cryptogr. Commun. doi: 10.1007/s12095-015-0178-x – ident: ref_2 doi: 10.1007/978-3-0348-8107-4 – ident: ref_12 doi: 10.3390/math8091487 – volume: 67 start-page: 82 year: 2018 ident: ref_53 article-title: Gaussian Padovan and Gaussian Pell-Padovan sequences publication-title: Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. doi: 10.1501/Commua1_0000000863 – volume: 46 start-page: 579 year: 2017 ident: ref_35 article-title: On the Padovan p-numbers publication-title: Hacet. J. Math. Stat. – volume: 17 start-page: 613 year: 1989 ident: ref_17 article-title: The golden section in the measurement theory publication-title: Comput. Math. Appl. doi: 10.1016/0898-1221(89)90252-6 – volume: 9 start-page: 46 year: 1999 ident: ref_22 article-title: A generalization of the Fibonacci Q-matrix publication-title: Rep. Nat. Acad. Sci. Ukr. – volume: 2015 start-page: 879510 year: 2015 ident: ref_41 article-title: On Distance (r,k)-Fibonacci Numbers and Their Combinatorial and Graph Interpretations publication-title: J. Appl. Math. – volume: 44 start-page: 145 year: 2011 ident: ref_48 article-title: Limit of ratio of consecutive terms for general order-k linear homogeneous reccurences with constant coefficients publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2011.01.003 – volume: 37 start-page: 825 year: 2006 ident: ref_16 article-title: Properties of Cordonnier, Perrin and Van der Laan numbers publication-title: Int. J. Math. Educ. Sci. Technol. doi: 10.1080/00207390600712554 – volume: 209 start-page: 133 year: 2007 ident: ref_7 article-title: The generalized order-k Fibonacci–Pell sequence by matrix methods publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2006.10.071 – volume: 112 start-page: 397 year: 2013 ident: ref_45 article-title: Distance Fibonacci numbers, distance Lucas numbers and their applications publication-title: Ars Comb – volume: 48 start-page: 169 year: 2008 ident: ref_37 article-title: On generalized Pell numbers and their graph representations publication-title: Comment. Math. – volume: 118 start-page: 391 year: 2015 ident: ref_40 article-title: On three types of (2,k)-distance Fibonacci numbers an number decompositions publication-title: Ars Comb. – volume: 161 start-page: 2695 year: 2013 ident: ref_34 article-title: On a new type of distance Fibonacci numbers publication-title: Discret. Appl. Math. doi: 10.1016/j.dam.2013.05.029 – volume: 2019 start-page: 392 year: 2019 ident: ref_9 article-title: On characteristic polynomial of higher order generalized Jacobsthal numbers publication-title: Adv. Differ. Eqs. doi: 10.1186/s13662-019-2327-6 – ident: ref_3 – volume: 7 start-page: 65 year: 2019 ident: ref_30 article-title: A new Gaussian Fibonacci matrices and its applications publication-title: J. Algebra Relat. Top. – ident: ref_47 – volume: 217 start-page: 10239 year: 2011 ident: ref_26 article-title: Bivariate fibonacci like p-polynomials publication-title: Appl. Math. Comput. doi: 10.1016/j.amc.2011.05.022 – volume: 243 start-page: 154 year: 2018 ident: ref_44 article-title: On a four-parameter generalization of some special sequences publication-title: Discret. Appl. Math. doi: 10.1016/j.dam.2018.03.002 – volume: 7 start-page: 7093 year: 2013 ident: ref_50 article-title: Matrices Formula for Padovan and Perrin Sequences publication-title: Appl. Math. Sci. – volume: 40 start-page: 1890 year: 2009 ident: ref_24 article-title: On the m-extension of the Fibonacci and Lucas p-numbers publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2007.09.071 – volume: 1905 start-page: 030035 year: 2017 ident: ref_51 article-title: Some matrices with Padovan Q-matrix property publication-title: AIP Conf. Proc. doi: 10.1063/1.5012181 – volume: 38 start-page: 83 year: 2017 ident: ref_55 article-title: Coding theory on generalized Fibonacci n-step polynomials publication-title: J. Inf. Optim. Sci. – volume: 12 start-page: 541 year: 2019 ident: ref_33 article-title: m Extension of Lucas p-numbers in information theory publication-title: JJMS – ident: ref_10 doi: 10.3390/math7010074 – ident: ref_21 – ident: ref_36 doi: 10.1017/CBO9780511566042 – ident: ref_54 – volume: 38 start-page: 221 year: 2018 ident: ref_52 article-title: Matrix Representation of Recursive Sequences of Order 3 and Its Applications publication-title: J. Math. Res. Appl. – ident: ref_46 – volume: 19 start-page: 250 year: 1981 ident: ref_20 article-title: A history of the Fibonacci Q-matrix and a higher-dimensional problem publication-title: Fibonacci Q. – volume: 53 start-page: 35 year: 2013 ident: ref_38 article-title: Distance Fibonacci numbers, their interpretations and matrix generators publication-title: Comment. Math. – volume: 6 start-page: 76 year: 1899 ident: ref_14 article-title: Item 1484 publication-title: L’Intermédiare des Math. – ident: ref_15 – volume: 30 start-page: 56 year: 2006 ident: ref_23 article-title: Fibonacci matrices, a generalization of the Cassini formula and a new coding theory publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2005.12.054 – volume: 68 start-page: 455 year: 1961 ident: ref_5 article-title: A Generalized Fibonacci Sequence publication-title: Am. Math. Mon. doi: 10.1080/00029890.1961.11989696 – ident: ref_13 doi: 10.3390/math8081387 – volume: 11 start-page: 1950026 year: 2019 ident: ref_32 article-title: The generalized relations among the code elements for a new complex Fibonacci matrix publication-title: Discret. Math. Algorithms Appl. doi: 10.1142/S1793830919500265 – ident: ref_1 doi: 10.1002/9781118033067 – volume: 129 start-page: 19 year: 2016 ident: ref_42 article-title: Two parameter generalization of Pell numbers in graphs publication-title: Ars Comb. – ident: ref_19 – ident: ref_43 – volume: 67 start-page: 745 year: 1960 ident: ref_4 article-title: Generalized Fibonacci Numbers and Associated Matrices publication-title: Am. Math. Mon. doi: 10.1080/00029890.1960.11989593 – ident: ref_11 doi: 10.3390/math7090805 |
| SSID | ssj0000913849 |
| Score | 2.1593971 |
| Snippet | In 2006, A. Stakhov introduced a new coding/decoding process based on generating matrices of the Fibonacci p-numbers, which he called the Fibonacci... |
| SourceID | doaj proquest crossref |
| SourceType | Open Website Aggregation Database Enrichment Source Index Database |
| StartPage | 2058 |
| SubjectTerms | characteristic equation Coding coding theory Combinatorial analysis Decoding Fibonacci numbers generalizd fibonacci numbers Mathematics Numbers |
| SummonAdditionalLinks | – databaseName: DOAJ: Directory of Open Access Journal (DOAJ) dbid: DOA link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3PS8MwFA4iHvQg_sTplBx2UDEsTdI2Oep0eNDpQWG30uYHDqTTdQr-976k3SgoePFaHqR5L833Pej7PoR6zgBGKmVIlNOcCEsV8eOTROcm5y4BQNFBxPUuHY3keKweW1Zf_p-wWh64TlyfFYmJXRE7wDZhDQNG6KBnYEblEtZ3_valqWo1U-EOVhGXQtUDeRz6-j7wvxcJ5IJ6c_cWBAWl_h8XcUCX4RbabGghvqxfZxut2HIHbdwvNVWrXUQeSjyYeqjBxRc-ZRfvZ-Tasz8oGx5OCqDUWk_wKFh8VHvoeXjzNLgljdkB0TwRc8JswqS1no4AyDuvs5ekQljo0GDbidYmiZl2ykqZx6lzkEpILzCWItI0l5rvo9VyWtoDhB1VjgvKmeVaGJUW0htPRbHhEghVyjrofLH_TDdK4N6Q4jWDjsAnK2slq4N6y-C3WgDj97Arn8hliFetDg-glllTy-yvWnZQd1GGrPmUqoz56VmgVVQe_scaR2id-ZY5jBN20ep89mGP0Zr-nE-q2Uk4Rd8wPcpD priority: 102 providerName: Directory of Open Access Journals |
| Title | On Coding by (2,q)-Distance Fibonacci Numbers |
| URI | https://www.proquest.com/docview/2462838908 https://doaj.org/article/2b6d5fb5f0754ed2882f9242d9a8becf |
| Volume | 8 |
| WOSCitedRecordID | wos000593345200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: DOA dateStart: 20130101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: M~E dateStart: 20130101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: Computer Science Database (ProQuest) customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: K7- dateStart: 20130301 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: M7S dateStart: 20130301 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: BENPR dateStart: 20130301 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Publicly Available Content Database customDbUrl: eissn: 2227-7390 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000913849 issn: 2227-7390 databaseCode: PIMPY dateStart: 20130301 isFulltext: true titleUrlDefault: http://search.proquest.com/publiccontent providerName: ProQuest |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV05TzMxEB3xAcVHwY0IR7QFBSAsNt7LrhBHIhAQIg4JqtWuD4iEEsgGJBp-OzPOJiCBaGhcrF14Pbbnje15D2DDavSRUmpWy_yMhcaXjNInmcp0FtgYHYpyJK5nSbMpbm9lqzxwK8pnlcM90W3UuqvojHyXUxIleldf7D09M1KNotvVUkLjH0wQS0LNPd27Gp2xEOelCOUgLS_A6H4XUeCDQIjhk8T7F0fk-Pq_bcfOxzRm_tq7WZgu0aW3P5gOczBmOvMwdT6iZi0WgF10vMMueSwvf_M2-c7zFjsiEInW9xrtHJG5Um2v6ZRCikW4adSvD49ZqZnAVBCHfcYNdsQYQjWIFSzR9cVJGBoM9EKjY6V0HHFlpREiixJr0SJoJQQ-eU35mVDBEox3uh2zDJ71pQ1CP-AmUKGWSS5Iv6oW6UAgLkt4BbaHA5iqklCcdC0eUwwsaLTTL6NdgY1R46cBj8bPzQ7IEqMmRH7tPnR792m5llKexzqyeWQR7uBPcQwSLIaRXMtM4JS0FVgbGiktV2SRflpo5ffqVfjPKaZ2-YZrMN7vvZh1mFSv_XbRq8LEQb3Zuqy62B3L04RV3aSj8r2O9a2T89bdB9Gd3b4 |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1NT9tAEB1RqFR6KLQFkRaKD1QCxApnd23vHirEVwRKCBxA4mbs_YBIKIE4LeJP8Rs749gpUituHHq1V6u1Z3bezNrzHsCat4iRWlvWzMKMSRdqRu2TzGQ2Ez5GQDEliWsn6XbV5aU-m4KnuheGfqusY2IZqO3A0Bn5NqcmSkTXUO3c3TNSjaKvq7WExtgt2u7xAUu24sfxAdr3O-etw_P9I1apCjAjYjli3OFEzhHuI5p6IrSLEykdlkLS2dgYG0fceO2UyqLEe1wzPgemBnnThJkyAud9AzNSqIT2VTthkzMd4thUUo_bAIXQ4TZmnTcKU5qQJOWfAV-pD_BX-C8xrTX3v72NefhQZc_B7tjdP8KU63-C9ycT6tniM7DTfrA_IEQO8sdgnW_db7ADSpLRu4NWL8fKw5he0C2VUIoFuHiV9S7CdH_Qd0sQ-FB7IUPBnTDS6iRXpM_VjKxQmHcmvAGbtcFSUxGmk27HbYqFE1k3fWbdBqxNBt-NeUL-PWyPLD8ZQuTe5YXB8DqtYkXK89hGPo88pnP4UByLII9lMrc6U7jlfAOWa6dIq4hTpH884svLt1fh3dH5SSftHHfbX2GW0_lB2Vu5DNOj4U-3Am_Nr1GvGH4rnTuAq9f2n99e7jNN |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LT9tAEB7RUFXlAH1QER6tD1Rqq67i7K7t3QNCQBo1AtIcWomejL2PNhJKIA4g_hq_jhnHTpGoeuPQq71a7Xpm9_tmvTMfwLa3iJFaW9bOwoxJF2pG6ZPMZDYTPkZAMWUR16Ok31cnJ3qwALd1Lgxdq6z3xHKjtmNDZ-QtTkmUiK6havnqWsSg0909v2CkIEV_Wms5jZmLHLqbawzfip1eB239nvPul-8HX1mlMMCMiOWUcYedOkccAJHVU3G7OJHSYVgknY2NsXHEjddOqSxKvMfx45yQJuRtE2bKCOz3CSwiJZe8AYuD3vHg5_yEhypuKqlnSYFC6LCFHPS3QoITksD8PRgs1QIegEGJcN2V__nbvIDlilcHe7OF8BIW3OgVLB3Pi9IWr4F9GwUHY8LqIL8JPvDPFx9Zh-gz-n3QHeYYkxgzDPqlRkqxCj8eZbxvoDEaj9waBD7UXshQcCeMtDrJFSl3tSMrFDLShDfhU2281FSl1EnR4yzFkIosnd6zdBO2543PZxVE_t5sn7xg3oTKfpcPxpNfabWLpDyPbeTzyCPRw0lxDI88BtDc6kzhYvRN2KwdJK32oiL94x3r_379Dp6h26RHvf7hBjzndLBQJl1uQmM6uXRb8NRcTYfF5G3l6QGcPrYD3QGn5j3O |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+Coding+by+%282%2Cq%29-Distance+Fibonacci+Numbers&rft.jtitle=Mathematics+%28Basel%29&rft.date=2020-11-01&rft.pub=MDPI+AG&rft.eissn=2227-7390&rft.volume=8&rft.issue=11&rft.spage=2058&rft_id=info:doi/10.3390%2Fmath8112058&rft.externalDBID=HAS_PDF_LINK |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2227-7390&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2227-7390&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2227-7390&client=summon |