On components of a Kerdock code and the dual of the BCH code C_1,3 [article]

I. Yu. Mogilnykh, F. I. Solov'eva
2018 arXiv   pre-print
In the paper we investigate the structure of i-components of two classes of codes: Kerdock codes and the duals of the primitive cyclic BCH code with designed distance 5 of length n=2^m-1, for odd m. We prove that for any admissible length a punctured Kerdock code consists of two i-components and the dual of BCH code is a i-component for any i. We give an alternative proof for the fact presented by De Caen and van Dam in 1999 that the restriction of the Hamming scheme to a doubly shortened Kerdock code is an association scheme.
arXiv:1810.04367v1 fatcat:5ixxikmwhfhzvctnpedovzb454