کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583302 1333894 2007 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on formally self-dual even codes of length divisible by 8
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A note on formally self-dual even codes of length divisible by 8
چکیده انگلیسی

A binary code with the same weight distribution as its dual code is called formally self-dual ( f.s.d.). We only consider f.s.d. even codes (codes with only even weight codewords). We show that any formally self-dual even binary code C of length n not divisible by 8 is balanced. We show that the weight distribution of a balanced near-extremal f.s.d. even code of length a multiple of 8 is unique. We also determine the possible weight enumerators of a near-extremal f.s.d. even [n,n/2,2⌊n/8⌋] code with 8|n as well as the dimension of its radical.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 13, Issue 2, April 2007, Pages 224-229