On Conflict-Avoiding Codes of Length for Three Active Users

M Jimbo, M Mishima, S Janiszewski… - IEEE transactions on …, 2007 - ieeexplore.ieee.org
New improved upper and lower bounds on the maximum size of a symmetric or arbitrary
conflict-avoiding code of length n= 4 m for three active users are proved. Furthermore, direct …

Optimal conflict-avoiding codes of length n ≡ 0 (mod 16) and weight 3

M Mishima, HL Fu, S Uruno - Designs, Codes and Cryptography, 2009 - Springer
A conflict-avoiding code of length n and weight k is defined as a set C ⊆ {0, 1\}^ n of binary
vectors, called codewords, all of Hamming weight k such that the distance of arbitrary cyclic …

A general upper bound on the size of constant-weight conflict-avoiding codes

KW Shum, WS Wong, CS Chen - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
Conflict-avoiding codes are used in the multiple-access collision channel without feedback.
The number of codewords in a conflict-avoiding code is the number of potential users that …

Optimal conflict-avoiding codes of even length and weight 3

HL Fu, YH Lin, M Mishima - IEEE transactions on information …, 2010 - ieeexplore.ieee.org
Direct constructions for optimal conflict-avoiding codes of length n≡48 and weight 3 are
provided by bringing in a new concept called an extended odd sequence. Constructions for …

Necessary and sufficient conditions for tight equi-difference conflict-avoiding codes of weight three

K Momihara - Designs, Codes and Cryptography, 2007 - Springer
A conflict-avoiding code (CAC) C of length n and weight k is a collection of k-subsets of Z _n
such that Δ (x) ∩ Δ (y)= ∅ holds for any x, y ∈ C, x\not= y, where Δ (x)={ji\,|\, i, j ∈ x, i\not= j\} …

Optimal 2-D -optical Orthogonal Codes

X Wang, Y Chang, T Feng - IEEE Transactions on information …, 2012 - ieeexplore.ieee.org
Optical orthogonal codes are commonly used as signature codes for optical code-division
multiple access systems. So far, research on 2-D optical orthogonal codes has mainly …

Optimal conflict-avoiding codes of odd length and weight three

HL Fu, YH Lo, KW Shum - Designs, codes and cryptography, 2014 - Springer
A conflict-avoiding code (CAC) C of length n and weight k is a collection of k-subsets of Z _ n
such that Δ (x) ∩ Δ (y)= ∅ for any x, y ∈ C, x ≠ y, where Δ (x)={ab:\, a, b ∈ x, a ≠ b\}. Let …

New optimal constructions of conflict-avoiding codes of odd length and weight 3

W Ma, C Zhao, D Shen - Designs, codes and cryptography, 2014 - Springer
Conflict-avoiding codes (CACs) have played an important role in multiple-access collision
channel without feedback. The size of a CAC is the number of codewords which equals the …

[HTML][HTML] Optimal equi-difference conflict-avoiding codes of odd length and weight three

Y Lin, M Mishima, J Satoh, M Jimbo - Finite Fields and Their Applications, 2014 - Elsevier
A conflict-avoiding code (CAC) is known as a protocol sequence for transmitting data
packets over a collision channel without feedback. The study of CACs has been focused on …

Optimal Tight Equi‐Difference Conflict‐Avoiding Codes of Length n = 2k ± 1 and Weight 3

SL Wu, HL Fu - Journal of Combinatorial Designs, 2013 - Wiley Online Library
For ak‐subset X of, the set of differences on X is the set (mod n):. A conflict‐avoiding code
CAC of length n and weight k is a collection of k‐subsets of such that=∅ for any distinct. Let …