Codes from symmetric polynomials

Datta, Mrinmoy and Johnsen, Trygve (2022) Codes from symmetric polynomials. Designs, Codes and Cryptography. ISSN 0925-1022

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Abstract

We define and study a class of Reed-Muller type error-correcting codes obtained from elementary symmetric functions in finitely many variables. We determine the code parameters and higher weight spectra in the simplest cases.

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IITH Creators:

IITH Creators	ORCiD
Datta, Mrinmoy	UNSPECIFIED

Item Type:

Article

Additional Information:

M. Datta is partially supported by a seed grant from Indian Institute of Technology Hyderabad and a Start-up Research Grant (File no. SRG/2021/001177/PMS) from Science and Engineering Research Board (India). M. Datta and T. Johnsen have been partially supported by Grant 280731 from the Research Council of Norway, and by the Project "Pure Mathematics in Norway" through the Trond Mohn Foundation and Tromso Research Foundation.

Uncontrolled Keywords:

GENERALIZED, HAMMING, WEIGHTS

Subjects:

Mathematics

Divisions:

Department of Mathematics

Depositing User:

. LibTrainee 2021

Date Deposited:

20 Oct 2022 09:50

Last Modified:

20 Oct 2022 09:50