«dual code»
۵۶۳۶ نتیجهSelf-Dual Codes over GF(4)
This paper studies codes V over GF(4) which have even weights and have the same weight distribution as the dual code FL. Some of the results are as follows. All such codes satisfy VL = 4. (If VI = V, V has a binary basis.) The number of such V's is determined, and those of length
The Dual Code of Some Evaluation Codes Arising from Complete Bipartite Graphs
In this paper we compute the dual code of the evaluation codes arising from the incidence matrix of a complete bipartite graph. Mathematics Subject Classification: 94B27, 94B60
Good self dual codes exist
Abstmt. It is showc that for any block length n which is a multiple of 5, there exists a binary self dual code irr which all weights are divisible by 4, and the minimum weight is asymptotically the same as that given by the Varshamov-Gilbert bound. § 1. Preliminaries Let Fn denot
Symmetric Designs and Self-dual Codes
A construction is given for associating to any symmetric (v, k, X) design a self-dual code of length v+ 1 over GF (p), where p is any divisor of the square-free part of k — k. These codes are then used to obtain a substantial strengthening of a result of Hughes on automorphisms o
Doubly-even Self-dual Code over F 4
We show that there is no [24, 12, 9] doubly-even self-dual code over F4 by attempting to construct the generator matrix of this code directly.
image modalities in multimedia vocabulary instruction: does dual coding of vocabulary occur at different degrees?
convictions are strong that multimedia courseware holds great promise for enhancing learning efficiency among learners. this study thus aimed at comparing the effects of the multimedia programs introducing 100 vocabulary items through pictures and streaming video with those of te
A projection decoding of a binary extremal self-dual code of length 40
As far as we know, there is no decoding algorithm of any binary self-dual [40, 20, 8] code except for the syndrome decoding applied to the code directly. This syndrome decoding for a binary self-dual [40, 20, 8] code is not efficient in the sense that it cannot be done by hand du
Quasi-Cyclic Complementary Dual Code
LCD codes are linear codes that intersect with their dual trivially. Quasi-cyclic codes that are LCD are characterized and studied by using their concatenated structure. Some asymptotic results are derived. Hermitian LCD codes are introduced to that end and their cyclic subclass
On the dual code of points and generators on the Hermitian variety H(2n+1, q2)
We study the dual linear code of points and generators on a nonsingular Hermitian variety H(2n + 1, q2). We improve the earlier results for n = 2, we solve the minimum distance problem for general n, we classify the n smallest types of code words and we characterize the small wei
Formally self-dual additive codes over F4 and near-extremal self-dual codes
We introduce a class of formally self-dual additive codes over F4 as a natural analogue of binary formally self-dual codes, which is missing in the study of additive codes over F4. We define extremal formally self-dual additive codes over F4 and classify all such codes. Interesti