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 …

Splitter Sets and -Radius Sequences

T Zhang, X Zhang, G Ge - IEEE Transactions on Information …, 2017 - ieeexplore.ieee.org
Splitter sets are closely related to lattice tilings, and have applications in flash memories and
conflict-avoiding codes. The study of k-radius sequences was motivated by some problems …

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 …

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 …

Transmission sequence design and allocation for wide-area ad hoc networks

WS Wong - IEEE Transactions on Vehicular Technology, 2013 - ieeexplore.ieee.org
In this paper, we examine the problem of designing and allocating transmission sequences
to users in a mobile ad hoc network that has no spatial boundary. A basic tenet of the …

Non-disjoint strong external difference families can have any number of sets

S Huczynska, SL Ng - Archiv der Mathematik, 2024 - Springer
Strong external difference families (SEDFs) are much-studied combinatorial objects
motivated by an information security application. A well-known conjecture states that only …

Optimal Constant-Weight and Mixed-Weight Conflict-Avoiding Codes

YH Lo, TL Wong, K Xu, Y Zhang - IEEE Transactions on …, 2025 - ieeexplore.ieee.org
A conflict-avoiding code (CAC) is a deterministic transmission scheme for asynchronous
multiple access without feedback. When the number of simultaneously active users is less …

Optimal equi-difference conflict-avoiding codes of weight four

Y Lin, M Mishima, M Jimbo - Designs, Codes and Cryptography, 2016 - Springer
A conflict-avoiding code (CAC) of length nn and weight ww is defined as a family\mathcal
CC of w w-subsets (called codewords) of Z _n Z n, the ring of residues modulo nn, such that …

Analysis Methodology for Age of Information under Sequence Based Scheduling

F Liu, WS Wong, YH Lo, Y Zhang, CS Chen - arxiv preprint arxiv …, 2024 - arxiv.org
We focus on the Age of Information (AoI) performance in a system where each user
generates packets periodically to send to a common access point (AP) for status updating …

[HTML][HTML] On the existence of perfect splitter sets

P Yuan, K Zhao - Finite Fields and Their Applications, 2020 - Elsevier
Given integers k 1, k 2 with 0≤ k 1< k 2, the determination of all positive integers q for which
there exists a perfect splitter B [− k 1, k 2](q) set is a wide open question in general. In this …