Results 11 to 20 of about 290,159 (337)
Self-Dual Convolutional Codes [PDF]
IEEE Transactions on Information Theory, 2022 This paper investigates the concept of self-dual convolutional codes. We derive the basic properties of this interesting class of codes and we show how some of the techniques to construct self-dual linear block codes generalize to self-dual convolutional codes.
Heri, Sebastian +2 more
core +7 more sources
On the enumeration of self-dual codes [PDF]
Journal of Combinatorial Theory, Series A, 1980 AbstractWe give the complete classification of all binary, self-dual, doubly-even (32, 16) codes. There are 85 non-equivalent, self-dual, doubly-even (32, 16) codes. Five of these have minimum weight 8, namely, a quadratic residue code and a Reed-Muller code, and three new codes.
John H. Conway, Vera Pless
openaire +2 more sources
Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes [PDF]
Finite Fields Their Appl., 2019 We introduce a bordered construction over group rings for self-dual codes. We apply the constructions over the binary field and the ring F 2 + u F 2 , using groups of orders 9, 15, 21, 25, 27, 33 and 35 to find extremal binary self-dual codes of lengths ...
S. Dougherty +5 more
semanticscholar +3 more sources
, 2002 <p>Submitted - <a href="/records/9d42w-jf423/files/0208001.pdf?download=1">0208001.pdf</a></p>
Rains, E. M., Sloane, N. J. A.
openaire +4 more sources
The classification of self-dual modular codes [PDF]
Finite Fields and Their Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Ho Park, Park, Young Ho
openaire +3 more sources
The Existence of a Self-Dual [70, 35, 12] Code and Formally Self-Dual Codes [PDF]
Finite Fields and Their Applications, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Harada, Masaaki
openaire +3 more sources
On an Assmus–Mattson type theorem for type I and even formally self‐dual codes [PDF]
Journal of combinatorial designs (Print), 2022 In the present paper, we give an Assmus–Mattson type theorem for near‐extremal Type I and even formally self‐dual codes. We show the existence of 1‐designs or 2‐designs for these codes. As a corollary, we prove the uniqueness of a self‐orthogonal 2‐ ( 16
T. Miezaki, H. Nakasora
semanticscholar +1 more source
Hadamard matrices related to a certain series of ternary self-dual codes [PDF]
Designs, Codes and Cryptography, 2022 In 2013, Nebe and Villar gave a series of ternary self-dual codes of length $$2(p+1)$$ 2 ( p + 1 ) for a prime p congruent to 5 modulo 8. As a consequence, the third ternary extremal self-dual code of length 60 was found.
M. Araya, M. Harada, K. Momihara
semanticscholar +1 more source
Construction for both self-dual codes and LCD codes [PDF]
Advances in Mathematics of Communications, 2021 From a given [n, k] code C, we give a method for constructing many [n, k] codes C' such that the hull dimensions of C and C' are identical. This method can be applied to constructions of both self-dual codes and linear complementary dual codes (LCD codes
Keita Ishizuka, Ken Saito
semanticscholar +1 more source
IEEE Access, 2023 In this paper, we investigate self-dual double circulant, and self-dual and linear complementary dual (LCD) double negacirculant codes over a finite ring $R = \mathbb F_{q} + u \mathbb F_{q} + v \mathbb F_{q} + uv\mathbb F_{q}$ , where $u^{2}=u$ , $v^{
Hai Q. Dinh +4 more
doaj +1 more source