activity
20172022
most citedMaximum Weight Spectrum Codes

16 citations · 31 across the 4 of their papers we have counts for

collaborators

6 papers

cs.IT2022

MWS and FWS Codes for Coordinate-Wise Weight Functions

Tim Alderson, Benjamin Morine

A combinatorial problem concerning the maximum size of the (hamming) weight set of an linear code was recently introduced. Codes attaining the established upper bound are…

math.CO2019★ 11 cited

On the Weights of General MDS Codes

Tim L. Alderson

The weight spectra of MDS codes of length and dimension over the arbitrary alphabets are studied. For all -ary MDS codes of dimension containing the zero cod…

cs.IT2018

A note on full weight spectrum codes

Tim L. Alderson

A linear code is said to be a full weight spectrum (FWS) code if there exist codewords of each nonzero weight less than or equal to . In this brief communica…

math.CO2018★ 4 cited

n-Dimensional Optical Orthogonal Codes, Bounds and Optimal Constructions

Tim Alderson

We generalized to higher dimensions the notions of optical orthogonal codes. We establish uper bounds on the capacity of general -dimensional OOCs, and on specific types of id…

cs.IT2018★ 16 cited

Maximum Weight Spectrum Codes

Tim L. Alderson, Alessandro Neri

In the recent work \cite{shi18}, a combinatorial problem concerning linear codes over a finite field $\F_q$ was introduced. In that work the authors studied the weight set of an $[…

cs.IT2017

3-Dimensional Optical Orthogonal Codes with Ideal Autocorrelation-Bounds and Optimal Constructions

Tim L. Alderson

Several new constructions of 3-dimensional optical orthogonal codes are presented here. In each case the codes have ideal autocorrelation , and in all but one cas…