In this book, explicit expressions of all thegenerating idempotents
of irreducible cyclic codes oflength p DEGREESn and 2p DEGREESn
over GF(q) are obtained, where pis an oddprime, p does not divide
(q DEGREESf-1)/p if n > 1 and f isthe multiplicative order of q
modulo p. Also thegenerating idempotents of all theirreducible
cyclic codes of length 2 DEGREESn over GF(q), where q is any odd
prime power, are determined.It is also proved that the generating
idempotents ofirreducible cyclic codes can be effectivelyevaluated,
once they are known for irreducible cycliccodes of length prime
power length. The weightdistributions of all the irreducible cyclic
codes oflength 2 DEGREESn are also obtained directly from
theirgenerating polynomials. The necessary and sufficientconditions
for the existence of cyclic polyadic codesof prime powerlength and
of arbitrary length are obtained. The results on the existence of
polyadiccodes, obtained by us, will enable one to constructpolyadic
codes of varying lengths and dimensions.Many interesting examples
of good codes arise f
General
Imprint: |
Lap Lambert Academic Publishing
|
Country of origin: |
Germany |
Release date: |
June 2011 |
First published: |
June 2011 |
Authors: |
Anuradha Sharma
|
Dimensions: |
229 x 152 x 8mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
132 |
ISBN-13: |
978-3-8383-9632-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
3-8383-9632-4 |
Barcode: |
9783838396323 |
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