A Family of Two-Weight Irreducible Cyclic Codes

Rao, Asha; Pinnawala, N.

doi:10.1109/tit.2010.2046201

Cited by 31 publications

(23 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There is a recent survey on three-weight cyclic codes [14]. Some interesting two-weight and three-weight codes were presented in [5], [11], [9], [21], [22], [23], [26], [29], and [31]. The length of the two-weight and three-weight codes in the literature usually divides p m − 1, while that of the codes presented in this paper does not have this property.…”

Section: The Secret Sharing Schemes From the Codes Of This Papermentioning

confidence: 95%

A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing

Ding

2015

IEEE Trans. Inform. Theory

295

281

View full text Add to dashboard Cite

In this paper, a class of two-weight and three-weight linear codes over GF(p) is constructed, and their application in secret sharing is investigated. Some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes. These codes have applications also in authentication codes, association schemes, and strongly regular graphs, in addition to their applications in consumer electronics, communication and data storage systems.

show abstract

Section: The Secret Sharing Schemes From the Codes Of This Papermentioning

confidence: 95%

A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing

Ding

2015

IEEE Trans. Inform. Theory

295

281

View full text Add to dashboard Cite

show abstract

“…The duals of the linear codes are proved to be optimal or almost optimal. Some two-weight codes were discovered (see [2], [3], [5], [6], [8], [9], [12], [14], [15], [17], [19], [21], [23]). We did not find the parameters of the two-weight of codes of this paper in these references.…”

Section: Discussionmentioning

confidence: 99%

Binary Linear Codes With Two Weights

2015

View full text Add to dashboard Cite

show abstract

“…The weight distributions of irreducible cyclic codes have been extensively studied and can be found in [2,[5][6][7]11,20,22].…”

Section: Introductionmentioning

confidence: 99%

Weight distributions of cyclic codes of length tlm

Zhu

Yue

2015

Discrete Mathematics

View full text Add to dashboard Cite

a b s t r a c tLet F q be a finite field with q elements, l an odd prime, and t, v positive integers such that l v |(q − 1) and gcd(t, l) = 1. In this paper, we give a combinatorial result and use it to determine the weight distribution of a cyclic code of length tl m with t|(q − 1), which is an open question in . Moreover we compute the weight distributions of cyclic codes of length tl m , where q ≡ 3 (mod 4) and t = 4 or 8.

show abstract

A Family of Two-Weight Irreducible Cyclic Codes

Cited by 31 publications

References 8 publications

A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing

A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing

Binary Linear Codes With Two Weights

Weight distributions of cyclic codes of length tlm

Contact Info

Product

Resources

About