On designs and formally self-dual codes

DOI10.1007/BF01388559zbMath0806.94024MaRDI QIDQ1321556

George T. Kennedy, Vera S. Pless

Publication date: 28 April 1994

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

zbMATH Keywords

Assmus-Mattson theoremdesignsminimum distancebinary formally self-dual codes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05)

Related Items (23)

Weight distributions of linear codes and the Gleason-Pierce theorem ⋮ A coding theoretic approach to extending designs ⋮ Construction of isodual codes over \(\mathrm{GF}(q)\) ⋮ LCD codes from equitable partitions of association schemes ⋮ An improved method for constructing formally self-dual codes with small hulls ⋮ Construction and enumeration of self-orthogonal and self-dual codes over Galois rings of even characteristic ⋮ Formally self-dual LCD codes from two-class association schemes ⋮ A recursive method for the construction and enumeration of self-orthogonal and self-dual codes over the quasi-Galois ring \(\mathbb{F}_{2^r}[u/<u^e>\)] ⋮ Constructing formally self-dual codes over \(R_k\) ⋮ Mass formulae for Euclidean self-orthogonal and self-dual codes over finite commutative chain rings ⋮ On the minimum weights of binary LCD codes and ternary LCD codes ⋮ A note on formally self-dual even codes of length divisible by 8 ⋮ A construction of group divisible designs with block sizes 3 to 7 ⋮ On the classification of extremal even formally self-dual codes of lengths 20 and 22 ⋮ Formally self-dual additive codes over \(\mathbb F_4\) ⋮ On the classification and enumeration of self-dual codes ⋮ LCD codes from weighing matrices ⋮ A generalized Gleason-Pierce-Ward theorem ⋮ The nonexistence of near-extremal formally self-dual codes ⋮ The existence of a self-dual \([70 ,35 ,12\) code and formally self-dual codes.] ⋮ Isodual codes over \(\mathbb{Z}_{2k}\) and isodual lattices ⋮ A class of constacyclic codes containing formally self-dual and isodual codes ⋮ Guest editorial: on coding theory and combinatorics -- in memory of Vera Pless

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the enumeration of self-dual codes
• The binary self-dual codes of length up to 32: A revised enumeration
• The \([18,9,6\) code is unique]
• A restriction on the weight enumerator of a self-dual code
• Self-dual codes over GF(4)
• On weights in duadic codes
• A classification of self-orthogonal codes over GF(2)
• A new upper bound on the minimal distance of self-dual codes
• An updated table of minimum-distance bounds for binary linear codes
• Generalized quadratic residue codes
• Self-dual codes over&lt;tex&gt;GF(3)&lt;/tex&gt;and&lt;tex&gt;GF(4)&lt;/tex&gt;of length not exceeding 16
• New 5-designs
• Reachable sets for linear dynamical systems
• An upper bound for self-dual codes
• On the classification and enumeration of self-dual codes

This page was built for publication: On designs and formally self-dual codes