Title: Invariants of MacWilliams identity: weight and ideal distribution in poset spaces

Authors: Marcos Vinicius P. Spreafico; Marcelo Firer

Addresses: INMA - UFMS, Av. Costa e Silva s/n, CEP 79060-300, Campo Grande, MS, Brazil ' IMECC - UNICAMP, Rua Sérgio Buarque de Holanda, 651, CEP 13083-859, Campinas, SP, Brazil

Abstract: The weight distribution of a poset space is determined by the distribution of ideals in the poset. In this paper, we prove the opposite relation: the distribution of ideals is completely determined by the weight distribution of a poset space.

Keywords: MacWilliams identity; poset spaces; weight distribution; weight enumerator; ideal distribution.

DOI: 10.1504/IJICOT.2017.081464

International Journal of Information and Coding Theory, 2017 Vol.4 No.1, pp.101 - 105

Received: 17 Aug 2016
Accepted: 30 Aug 2016
Published online: 09 Jan 2017 *

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