Classification of binary constant weight codes

PRJ Ostergard - IEEE Transactions on Information Theory, 2010 - ieeexplore.ieee.org
A binary code C⊆ F 2 n with minimum distance at least d and codewords of Hamming
weight w is called an (n, d, w) constant weight code. The maximum size of an (n, d, w) …

Grassmannian codes with new distance measures for network coding

T Etzion, H Zhang - IEEE Transactions on Information Theory, 2019 - ieeexplore.ieee.org
Grassmannian codes are known to be useful in error correction for random network coding.
Recently, they were used to prove that vector network codes outperform scalar linear …

Vanishing flats: A combinatorial viewpoint on the planarity of functions and their application

S Li, W Meidl, A Polujan, A Pott… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
For a function f from F_2^n to F_2^n, the planarity of f is usually measured by its differential
uniformity and differential spectrum. In this paper, we propose the concept of vanishing flats …

Construction of optimal supersaturated designs by the packing method

K Fang, G Ge, M Liu - Science in China Series A: Mathematics, 2004 - Springer
A supersaturated design is essentially a factorial design with the equal occurrence of levels
property and no fully aliased factors in which the number of main effects is greater than the …

Subspace packings: constructions and bounds

T Etzion, S Kurz, K Otal, F Özbudak - Designs, Codes and Cryptography, 2020 - Springer
Grassmannian G _q (n, k) G q (n, k) is the set of all k-dimensional subspaces of the vector
space F _q^ n F qn. Kötter and Kschischang showed that codes in Grassmannian space can …

Constructions of binary codes with two distances

I Landjev, A Rousseva, K Vorobev - Discrete Mathematics, 2023 - Elsevier
In this paper, we consider the problem of determining the exact value of A 2 (n,{d 1, d 2})
defined as the maximal cardinality of a binary code of length n with two possible distances d …

Asymptotically optimal optical orthogonal signature pattern codes

L Ji, B Ding, X Wang, G Ge - IEEE Transactions on Information …, 2018 - ieeexplore.ieee.org
Optical orthogonal signature pattern codes (OOSPCs) have played an important role in a
novel type of optical code-division multiple-access network for 2-D image transmission. In …

Heuristic algorithms for constructing binary constant weight codes

R Montemanni, DH Smith - IEEE transactions on information …, 2009 - ieeexplore.ieee.org
Constant weight binary codes are used in a number of applications. Constructions based on
mathematical structure are known for many codes. However, heuristic constructions …

New optical orthogonal signature pattern codes with maximum collision parameter 2 and weight 4

J Chen, L Ji, Y Li - Designs, Codes and Cryptography, 2017 - Springer
Optical orthogonal signature pattern codes (OOSPCs) play an important role in a novel type
of optical code-division multiple-access network for 2-dimensional image transmission …

Distributed scheduling for disconnected cooperation

G Malewicz, A Russell, AA Shvartsman - Distributed Computing, 2006 - Springer
Ability to cooperate on common tasks in a distributed setting is key to solving a broad range
of computation problems ranging from distributed search such as SETI to distributed …