MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS

YAMAÇ AKBIYIK, SEDA; ŞİAP, İrfan

MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS

SEDA YAMAÇ AKBIYIK, (Yıldız Teknik Üniversitesi, Matematik Bölümü, İstanbul, Türkiye)

İrfan ŞİAP (Yıldız Teknik Üniversitesi, Matematik Bölümü, İstanbul, Türkiye)

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics

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Yıl: 2013 Cilt: 62 Sayı: 1 Sayfa Aralığı: 61 - 71 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS

Öz:

In this paper we introduce a level weight enumerator for linear binary codes whose index set is a forest. This weight enumerator give smost of the weight enumerators as a special case by specializing its variables. Weprove a MacWilliams identity for this weight enumerator over this special family of posets which also generalizes the previous results in literature. Further, both the code and its dual are considered over this family of posets using the deÖnition of this weight enumerator which was not possible before. We conclude by an illustrative example and some remarks.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	YAMAÇ AKBIYIK S, ŞİAP İ (2013). MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS. , 61 - 71.
Chicago	YAMAÇ AKBIYIK SEDA,ŞİAP İrfan MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS. (2013): 61 - 71.
MLA	YAMAÇ AKBIYIK SEDA,ŞİAP İrfan MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS. , 2013, ss.61 - 71.
AMA	YAMAÇ AKBIYIK S,ŞİAP İ MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS. . 2013; 61 - 71.
Vancouver	YAMAÇ AKBIYIK S,ŞİAP İ MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS. . 2013; 61 - 71.
IEEE	YAMAÇ AKBIYIK S,ŞİAP İ "MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS." , ss.61 - 71, 2013.
ISNAD	YAMAÇ AKBIYIK, SEDA - ŞİAP, İrfan. "MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS". (2013), 61-71.

APA	YAMAÇ AKBIYIK S, ŞİAP İ (2013). MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 62(1), 61 - 71.
Chicago	YAMAÇ AKBIYIK SEDA,ŞİAP İrfan MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 62, no.1 (2013): 61 - 71.
MLA	YAMAÇ AKBIYIK SEDA,ŞİAP İrfan MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.62, no.1, 2013, ss.61 - 71.
AMA	YAMAÇ AKBIYIK S,ŞİAP İ MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2013; 62(1): 61 - 71.
Vancouver	YAMAÇ AKBIYIK S,ŞİAP İ MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2013; 62(1): 61 - 71.
IEEE	YAMAÇ AKBIYIK S,ŞİAP İ "MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 62, ss.61 - 71, 2013.
ISNAD	YAMAÇ AKBIYIK, SEDA - ŞİAP, İrfan. "MACWILLIAMS IDENTITIES OVER SOME SPECIAL POSETS". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 62/1 (2013), 61-71.