Classical Goppa codes are a special case of Alternant codes. First we prove that the parity-check subcodes of Goppa codes and the extended Goppa codes are both Alternant codes. Before this paper, all known cyclic Goppa codes were some particular BCH codes. Many families of Goppa codes with a cyclic
โฆ LIBER โฆ
Which extended goppa codes are cyclic?
โ Scribed by Henning Stichtenoth
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 832 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
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lGl=p", where n=n,+n,+. , . + n r 2 ) like 1) with apnn=b,, instead of apnn=l. Proof. Let G be a group of order p" with an elementary abelian normal subgroup B for which GIB is cyclic of order p"". Further let aB be a generating element of GIB. Then upnn B. The group (a) suffers from B a representat