Search Results - "ring-linear code"

The weight distribution of codes over finite chain rings by Cavicchioni, Giulia, Meneghetti, Alessio

“…In this work, we determine new linear equations for the weight distribution of linear codes over finite chain rings. The identities are determined by counting…”
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Bounds in the Lee metric and optimal codes by Byrne, Eimear, Weger, Violetta

“…In this paper we investigate known Singleton-like bounds in the Lee metric and characterize their extremal codes, which turn out to be very few. We then focus…”
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Information set decoding for ring-linear codes: Information set decoding for ring-linear codes by Cavicchioni, Giulia, Meneghetti, Alessio, Tognolini, Giovanni

“…Information set decoding (ISD) algorithms currently offer the most powerful tool to solve the two archetypal problems of coding theory, namely the codeword…”
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A class of locally recoverable codes over finite chain rings: A class of locally recoverable codes over finite chain rings by Cavicchioni, Giulia, Guerrini, Eleonora, Meneghetti, Alessio

“…Locally recoverable codes deal with the task of reconstructing a lost symbol by relying on a portion of the remaining coordinates smaller than an information…”
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Two-weight codes, graphs and orthogonal arrays by Byrne, Eimear, Sneyd, Alison

“…We investigate properties of two-weight codes over finite Frobenius rings, giving constructions for the modular case. A δ -modular code (in: Honold T, Honold…”
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Properties of codes with two homogeneous weights by Byrne, Eimear, Kiermaier, Michael, Sneyd, Alison

“…Delsarte showed that for any projective linear code over a finite field GF(pr) with two nonzero Hamming weights w1<w2 there exist positive integers u and s…”
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Codes from translation schemes on Galois rings of characteristic 4 by Kiermaier, Michael

“…In [Thomas Honold. Two-intersection sets in projective Hjelmslev spaces. In Proceedings of the 19th International Symposium on Mathematical Theory of Networks…”
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New ring-linear codes from dualization in projective Hjelmslev geometries by Kiermaier, Michael, Zwanzger, Johannes

“…In this article, several new constructions for ring-linear codes are given. The class of base rings are the Galois rings of characteristic 4, which include as…”
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On coloured constant composition designs by Greferath, Marcus, Therkelsen, Ryan K.

“…This paper deals with a particular class of coloured designs: the incidence vectors of all blocks of these designs have the same composition, and the same is…”
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Error-Correction Performance of Regular Ring-Linear LDPC Codes Over Lee Channels by Bariffi, Jessica, Bartz, Hannes, Liva, Gianluigi, Rosenthal, Joachim

“…Most low-density parity-check (LDPC) code constructions are considered over finite fields. In this work, we focus on regular LDPC codes over integer residue…”
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New Upper Bounds on Binary Linear Codes and a -Code With a Better-Than-Linear Gray Image by Kiermaier, Michael, Wassermann, Alfred, Zwanzger, Johannes

“…Using integer linear programming and table-lookups, we prove that there is no binary linear [1988, 12, 992] code. As a by-product, the non-existence of binary…”
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Characteristics of invariant weights related to code equivalence over rings by Greferath, Marcus, Mc Fadden, Cathy, Zumbrägel, Jens

“…The Equivalence Theorem states that, for a given weight on an alphabet, every isometry between linear codes extends to a monomial transformation of the entire…”
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Ring geometries, two-weight codes, and strongly regular graphs by Byrne, Eimear, Greferath, Marcus, Honold, Thomas

“…It is known that a projective linear two-weight code C over a finite field corresponds both to a set of points in a projective space over that meets every…”
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On Generalized Hamming Weights for Galois Ring Linear Codes by Ashikhmin, Alexei

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