Cyclic Codes of Prime Power Length from Generalized Cyclotomic Classes of Order 4 and 8

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-53 Number-2
Year of Publication : 2018
Authors : Pankaj, Manju Pruthi
  10.14445/22315373/IJMTT-V53P520

MLA

Pankaj, Manju Pruthi "Cyclic Codes of Prime Power Length from Generalized Cyclotomic Classes of Order 4 and 8", International Journal of Mathematics Trends and Technology (IJMTT). V53(2):166-171 January 2018. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper, we first introduce generalized cyclotomic classes of order 4 and 8 and then present a special class of cyclic codes with length pm. We also obtain lower bound on the minimum odd weight of these codes.

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Keywords
Cyclotomy, Generator Polynomial, Cyclic code.