Results 11 to 20 of about 1,524,940 (252)

On self-dual affine-invariant codes [PDF]

, 1993
An extended cyclic code of length 2m over GF(2) cannot be self-dual for even m. For odd m, the Redd-Muller code [2m, 2m-1, 2(m+1)/2] is affine-invariant and self-dual and it is the only such code for m = 3 or 5.
Levy-Dit-Vehel, Françoise, Charpin, Pascale   +1 more
core   +4 more sources

Linear programming bounds for doubly-even self-dual codes [PDF]

, 1997
Using a variant of linear programming method we derive a new upper bound on the minimum distance d of doubly-even self-dual codes of length n. Asymptotically, for n growing, it gives d/n
Krasikov, I, Simon Litsyn, Ilia Krasikov, I. Krasikov, S. Litsyn   +4 more
core   +2 more sources

An improved upper bound on the minimum distance of doubly-even self-dual codes [PDF]

, 2000
We derive a new upper bound on the minimum distance d of doubly-even self-dual codes of length n. Asymptotically, for n growing, it gives limn→∞ sup d/n
Krasikov, I, Litsyn, S
core   +1 more source

Rate adaptive binary erasure quantization with dual fountain codes [PDF]

, 2008
—In this contribution, duals of fountain codes are introduced and their use for lossy source compression is investigated. It is shown both theoretically and experimentally that the source coding dual of the binary erasure channel coding problem, binary ...
Mohamed Ismail, Piechocki, RJ, Ismail, MR, Sejdinovic, D, Dino Sejdinovic, Angela Doufexi, Ismail, M, Doufexi, A, Robert J. Piechocki   +8 more
core   +1 more source

Describing quaternary codes using binary codes [PDF]

, 2011
PhDFor a quaternary code C of length n, de ne a pair of binary codes fC1;C2g as: -C1 = C mod 2 -C2 = h(C \ 2Zn 4 ) where h is a bijection from 2Z4 to Z2 mapping 0 to 0 and 2 to 1 and for the extension to a map acting coordinatewise.
Al Kharoosi, Fatma Salim Ali
core   +4 more sources

Duality of Codes Over Non-Unital Rings of Order Four

IEEE Access, 2023
In this paper, we present a basic theory of the duality of linear codes over three of the non-unital rings of order four; namely $I$ , $E$ , and $H$ as denoted in (Fine, 1993).
Adel Alahmadi, Asmaa Melaibari, Patrick Sole   +2 more
doaj   +1 more source

Self-Dual Convolutional Codes [PDF]

, 2022
This paper investigates the concept of self-dual convolutional code. 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 ...
Lieb, Julia, Rosenthal, Joachim; https://orcid.org/, Heri, Sebastian   +2 more
core   +1 more source

Self-Dual Double Circulant, Self-Dual Double Negacirculant and LCD Double Negacirculant Codes Over the Ring F_q[u,v]/<u² - u, v²-v, uv-vu>

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, Bhanu Pratap Yadav, Bac T. Nguyen, Ashish Kumar Upadhyay, Woraphon Yamaka   +4 more
doaj   +1 more source

An explicit construction of quantum codes from one-generator generalized quasi-cyclic codes [PDF]

MATEC Web of Conferences, 2021
In this paper, we take advantage of a class of one-generator generalized quasi-cyclic (GQC) codes of index 2 to construct quantum error-correcting codes.
Yao Yu, Ma Yuena, Li Husheng, Lv Jingjie
doaj   +1 more source

On spectra of BCH codes [PDF]

, 1995
Derives an estimate for the error term in the binomial approximation of spectra of BCH codes. This estimate asymptotically improves on the bounds by Sidelnikov (1971), Kasami et al. (1985), and Sole (1990)
Krasikov, I, Simon Litsyn, Litsyn, S, Ilia Krasikov   +3 more
core   +1 more source