Three-weight ternary linear codes from a family of cyclic difference sets

2018 ◽  
Vol 86 (11) ◽  
pp. 2513-2523 ◽  
Author(s):  
Zhengchun Zhou
Keyword(s):  
Linear Codes ◽  
Difference Sets ◽  
Cyclic Difference Sets ◽  
Ternary Linear Codes

scholarly journals Gauss Sums, Jacobi Sums, and p-Ranks of Cyclic Difference Sets

1999 ◽  
Vol 87 (1) ◽  
pp. 74-119 ◽  
Author(s):  
Ronald Evans ◽  
Henk D.L. Hollmann ◽  
Christian Krattenthaler ◽  
Qing Xiang
Keyword(s):  
Difference Sets ◽  
Gauss Sums ◽  
Cyclic Difference Sets ◽  
Jacobi Sums

On the minimum length of ternary linear codes

2011 ◽  
Vol 68 (1-3) ◽  
pp. 407-425 ◽  
Author(s):  
Tatsuya Maruta ◽  
Yusuke Oya
Keyword(s):  
Linear Codes ◽  
Minimum Length ◽  
Ternary Linear Codes

scholarly journals On circulant codes with prescribed distances

1977 ◽  
Vol 16 (3) ◽  
pp. 361-369
Author(s):  
M. Deza ◽  
Peter Eades
Keyword(s):  
Sufficient Conditions ◽  
Difference Sets ◽  
Necessary And Sufficient Conditions ◽  
Necessary Condition ◽  
Weighing Matrices ◽  
Cyclic Difference Sets ◽  
The Matrix ◽  
Circulant Codes ◽  
Necessary And Sufficient ◽  
Square Matrix

Necessary and sufficient conditions are given for a square matrix to te the matrix of distances of a circulant code. These conditions are used to obtain some inequalities for cyclic difference sets, and a necessary condition for the existence of circulant weighing matrices.

scholarly journals Exhaustive determination of (1023,~511,~255)-cyclic difference sets

2000 ◽  
Vol 70 (233) ◽  
pp. 357-367 ◽  
Author(s):  
Peter Gaal ◽  
Solomon W. Golomb
Keyword(s):  
Difference Sets ◽  
Cyclic Difference Sets

scholarly journals Nonexistence Proofs for Five Ternary Linear Codes

2002 ◽  
Vol 1 (1) ◽  
pp. 35
Author(s):  
S. GURITMAN
Keyword(s):  
Linear Code ◽  
Minimum Distance ◽  
Linear Codes ◽  
Ternary Linear Codes

<p>An [n,k, dh-code is a ternary linear code with length n, dimension k and minimum distance d. We prove that codes with parameters [110,6, 72h, [109,6,71h, [237,6,157b, [69,7,43h, and [120,9,75h do not exist.</p>

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