Search Results - "Optimal binary linear code"

Optimal minimal linear codes from posets by Hyun, Jong Yoon, Kim, Hyun Kwang, Wu, Yansheng, Yue, Qin

“…Recently, some infinite families of minimal and optimal binary linear codes were constructed from simplicial complexes by Hyun et al…”
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Optimal Binary Linear Codes From Maximal Arcs by Heng, Ziling, Ding, Cunsheng, Wang, Weiqiong

“…The binary Hamming codes with parameters <inline-formula> <tex-math notation="LaTeX">[{2^{m}-1, 2^{m}-1-m, 3}] </tex-math></inline-formula> are perfect. Their…”
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Weight distributions of binary optimal codes and their applications by Fei Zuo, Ruihu Li, Yang liu

“…In this paper, we give a new method for classification of binary optimal codes. Using this method, we present a new proof for classification of binary some…”
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On the Error Coefficients of Asymptotic Frame Error Rate Optimal Binary Linear Codes by Li, Shitao, Luo, Gaojun, Shi, Minjia, Ling, San

“… In this paper, we present several bounds on the smallest error coefficients of binary linear codes and give several constructions of AFER-optimal binary linear codes…”
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Infinite Families of Few Weight Optimal Binary Linear Codes From Multivariable Functions by Yoon Hyun, Jong, Jeong, Jihye, Lee, Yoonjin

“…-) optimal binary linear codes from our code families. Furthermore, we produce support t-designs (<inline-formula> <tex-math notation="LaTeX">t = 2 </tex-math></inline-formula> or 3…”
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A Class of Distance-Optimal Binary Linear Codes With Flexible Parameters by Tang, Deng, Fan, Cuiling

“…Binary linear codes with good parameters have wide applications in data storage, communications, and information security. Inspired by the idea proposed by…”
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Optimal binary LCD codes by Bouyuklieva, Stefka

“…Linear complementary dual codes (shortly LCD codes) are codes whose intersections with their dual codes are trivial. These codes were first introduced by…”
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Optimal binary linear codes of length ⩽30 by Jaffe, David B.

“…For n⩽30, we determine when an [n,k,d] (binary linear) code exists, and we classify optimal [n,k,d] codes, where by optimal we mean that no [n−1,k,d],…”
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Infinitely many families of distance-optimal binary linear codes with respect to the sphere packing bound by Chen, Hao, Xie, Conghui, Ding, Cunsheng

“…R. W. Hamming published the Hamming codes and the sphere packing bound in 1950. In the past 75 years, infinite families of distance-optimal linear codes over…”
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Characterization and construction of optimal binary linear codes with one-dimensional hull by Li, Shitao, Shi, Minjia, Jon-Lark, Kim

“…The hull of a linear code over finite fields is the intersection of the code and its dual, and linear codes with small hulls have applications in computational…”
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Optimal binary linear codes of dimension at most seven by Bouyukliev, Iliya, Jaffe, David B.

“…We classify optimal [n,k,d] binary linear codes of dimension ⩽7, with one exception, where by optimal we mean that no [n−1,k,d], [n+1,k+1,d] , or [n+1,k,d+1]…”
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Optimal binary linear codes and Z4-linearity by Encheva, Sylvia B, Jensen, Helge E

“… Especially, they treat optimal, binary linear codes and determine all such codes with minimum weight less or equal to six that are Z4-linear…”
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New optimal binary linear codes of dimensions 9 and 10 by Gulliver, T.A., Bhargava, V.K.

“…Eighteen new codes are presented which improve the bounds on maximum minimum distance for binary linear codes. They are rate (m-r)/pm, r/spl ges/1, degenerate…”
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Optimal binary linear codes and Z(4)-linearity by Encheva, S B, Jensen, H E

“…We give necessary and sufficient conditions for a binary linear code to be Z(4)-linear. Especially we treat optimal, binary linear codes and determine all such codes with minimum weight less or equal to six which are Z…”
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Optimal binary linear codes and Z/sub 4/-linearity by Encheva, S.B., Jensen, H.E.

“… Especially we treat optimal, binary linear codes and determine all such codes with minimum weight less or equal to six which are Z/sub 4/-linear…”
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Optimal binary linear codes of length ≤ 30 by JAFFE, D. B

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Binary optimal linear rate 1/2 codes by Gulliver, T.Aaron, Östergård, Patric R.J.

“…In this paper, we complete the classification of binary optimal linear [ n, n/2] codes up to length 28. We have determined that there are 1535 inequivalent…”
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Optimal binary linear codes of length /spl les/30 by Jaffe, D.B.

“…We classify optimal binary linear codes of length /spl les/30. This paper summarizes the results…”
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Infinite Families of Optimal Linear Codes Constructed From Simplicial Complexes by Hyun, Jong Yoon, Lee, Jungyun, Lee, Yoonjin

“… We construct infinite families of optimal binary linear codes <inline-formula> <tex-math notation="LaTeX">C_{\Delta ^{c}} </tex-math></inline-formula> constructed from simplicial complexes…”
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Subfield codes of CD-codes over F2[x]/〈x3−x by Bhagat, Anuj Kumar, Sarma, Ritumoni, Sagar, Vidya

“…A non-zero F-linear map from a finite-dimensional commutative F-algebra to the field F is called an F-valued trace if its kernel does not contain any non-zero…”
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