scholarly journals A classification of self-orthogonal codes over GF(2)

1972 ◽  
Vol 3 (1-3) ◽  
pp. 209-246 ◽  
Author(s):  
Vera Pless
Keyword(s):  
Orthogonal Codes

scholarly journals THE CLASSIFICATION OF SELF-ORTHOGONAL CODES OVER ℤp2OF LENGTHS ≤ 3

2014 ◽  
Vol 22 (4) ◽  
pp. 725-742 ◽  
Author(s):  
Whan-Hyuk Choi ◽  
Kwang Ho Kim ◽  
Sook Young Park
Keyword(s):  
Orthogonal Codes

On The Classification of Binary Optimal Self-Orthogonal Codes

2008 ◽  
Vol 54 (8) ◽  
pp. 3778-3782 ◽  
Author(s):  
Ruihu Li ◽  
Zongben Xu ◽  
Xuejun Zhao
Keyword(s):  
Orthogonal Codes

scholarly journals On the classification of weighing matrices and self-orthogonal codes

2011 ◽  
Vol 20 (1) ◽  
pp. 40-57 ◽  
Author(s):  
Masaaki Harada ◽  
Akihiro Munemasa
Keyword(s):  
Weighing Matrices ◽  
Orthogonal Codes

Classification of Quaternary [21s+17,3] Optimal Self-orthogonal Codes

2011 ◽  
Vol 6 (8) ◽  
pp. 342-348
Author(s):  
Xuejun Zhao ◽  
Yingjie Lei ◽  
Ruihu Li ◽  
Youqian Feng
Keyword(s):  
Orthogonal Codes

scholarly journals Self-orthogonal Codes over Fq + uFq and Fq + uFq + u 2Fq

2020 ◽  
Vol 13 (4) ◽  
pp. 873-892
Author(s):  
Lucky Erap Galvez ◽  
Rowena Alma Betty ◽  
Fidel Nemenzo
Keyword(s):  
Finite Field ◽  
Mass Formula ◽  
Finite Ring ◽  
Orthogonal Codes ◽  
Mass Formulas

In this paper, we establish a mass formula for Euclidean and Hermitian self-orthogonal codes over the finite ring Fq + uFq, where Fq is the finite field of order q and u2 = 0. We also establish a mass formula for Euclidean self-orthogonal codes over the finite ring Fq + uFq + u2Fq, with u3 = 0 and characteristic of Fq is odd. These mass formulas are used to give a classification of Euclidean and Hermitian self-orthogonal codes over F2 + uF2 and F3 + uF3 of small lengths.

The classification of self-orthogonal codes of length 42

2018 ◽  
Vol 10 (06) ◽  
pp. 1850083
Author(s):  
Debashis Ghosh ◽  
Joydeb Pal ◽  
Lakshmi Kanta Dey
Keyword(s):  
Error Correcting Codes ◽  
Dual Distance ◽  
Orthogonal Codes ◽  
Quantum Error

Self-orthogonal codes play an important role in constructing quantum-error-correcting codes. In this paper, we prove that if quasi-symmetric 2-(41, 9, 9) design exists, then it arises from self-orthogonal and self-complementary [Formula: see text] codes with dual distance of at least 5. Moreover, we emphasize the enumeration of inequivalent doubly-even codes with the needed dual distance and an automorphism of order 7. This is found to be precisely 8.

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