Cyclic codes of length 4 pn over GF(q), where q is prime power of the form 4k+1 Chawla Sheetal1,*, Singh Jagbir2,** 1Department of Mathematics, IIT, Delhi-110016 (India) 2Department of Mathematics, M.D. University, Rohtak-124001 (India) *chawlaasheetal@gmail.com
**ahlawatjagbir@yahoo.com
AMS Mathematical Subject Classification (2000): 11T71, 11G25, 22D20 Online published on 10 February, 2015. Abstract The explicit expression for the 4(n+1) primitive idempotents in FG (the group algebra of the cyclic group G of order 4 pn, where p is an odd prime, n≥1) over the finite field F of prime power order q, where qn is of the form 4k+1 and is a primitive root modulo p are obtained. The minimum distances, dimensions and the generating polynomials of the minimal cyclic codes generated by these primitive idempotents are also obtained. Top Keywords Group algebra, primitive idempotents, cyclotomiccosets. Top |