Cyclotomic Linear Codes of Order
โ Scribed by Cunsheng Ding; Niederreiter, H.
- Book ID
- 114640729
- Publisher
- IEEE
- Year
- 2007
- Tongue
- English
- Weight
- 186 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0018-9448
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
There are several kinds of cyclotomic sequences. They have a number of good randomness properties. In this paper we calculate the linear complexity (linear span) of generalized cyclotomic binary sequences of order 2. Our results show that their linear complexity is quite good.
We say that a cyclotomic polynomial ฮฆ n has order three if n is the product of three distinct primes, p < q < r. Let A(n) be the largest absolute value of a coefficient of ฮฆ n . For each pair of primes p < q, we give an infinite family of r such that A(pqr) = 1. We also prove that A(pqr) = A(pqs) wh