# The Binary Self-Dual Codes of Length up to 32: A Revised Enumeration

@article{Conway1992TheBS, title={The Binary Self-Dual Codes of Length up to 32: A Revised Enumeration}, author={John H. Conway and Vera Pless and N. J. A. Sloane}, journal={J. Comb. Theory, Ser. A}, year={1992}, volume={60}, pages={183-195} }

## Figures from this paper

## 116 Citations

On the Enumeration of Binary Self-Dual Codes

- Computer Science
- 2009

There are 3, 210 singly-even self-dual binary codes of length 32 up to equivalence, which agrees in number with the enumeration by Bilous and van Rees, who enumerated these codes by a different method.

Self-Dual Codes over the Integers Modulo 4

- Computer Science, MathematicsJ. Comb. Theory, Ser. A
- 1993

A new upper bound on the minimal distance of self-dual codes

- Computer ScienceIEEE Trans. Inf. Theory
- 1990

It is shown that the minimal distance d of a binary self-dual code of length n>or=74 is at most 2((n+6)/10). This bound is a consequence of some new conditions on the weight enumerator of a self-dual…

An Enumeration of Binary Self-Dual Codes of Length 32

- Computer ScienceDes. Codes Cryptogr.
- 2002

This paper has developed algorithms that will take lists of inequivalent small codes and produce lists of larger codes where each inequivalent code occurs only a few times and finds the size of the automorphism group so that the number of distinct binary self-dual codes for a specific length is found.

On the classification and enumeration of self-dual codes

- Computer ScienceFinite Fields Their Appl.
- 2005

New extremal self-dual codes of lengths 36, 38, and 58

- Computer Science, MathematicsIEEE Trans. Inf. Theory
- 2001

New extremal self-dual binary codes of lengths 36, 38, and 58 are constructed whose weight enumerators were previously unknown.

On designs and formally self-dual codes

- Computer ScienceDes. Codes Cryptogr.
- 1994

This paper examines the one type of divisible [2n, n] codes which need not be self-dual and obtains a strengthening of the Assmus-Mattson theore and shows that the extremal f.s.d. even codes of lengths 10 and 18 are unique.

Optimum Subcodes of Self-Dual Codes and Their Optimum Distance Profiles

- Computer Science
- 2012

This paper determines the optimum distance profiles (ODPs) of linear codes, finds a first example of a doubly-even self-complementary $[48, 16, 16]$ code, and shows that there does not exist a subcode of $q_{48}$ for $k \ge 17$.

Classification of Type IV Self-Dual Z4-Codes of Length 16

- Computer Science, Mathematics
- 2000

A method to classify Type IV self-dual codes over Z4 of length 16 is given and there are exactly 11 inequivalent Type IVself-duAL Z4-codes of length16.

Optimal subcodes and optimum distance profiles of self-dual codes

- Computer ScienceFinite Fields Their Appl.
- 2014

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It is shown that the minimal distance d of a binary self-dual code of length n>or=74 is at most 2((n+6)/10). This bound is a consequence of some new conditions on the weight enumerator of a self-dual…

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