Generalized integrated interleaving BCH codes

Tang and Koetter proposed generalized integrated interleaved Reed-Solomon codes in which each code of the second layer belongs to different subcode of the first layer code. However, the original scheme is inapplicable to binary BCH codes since its integrating coefficients are general finite field elements. In this work we propose a novel generalized integrated interleaving scheme over binary BCH codes, derive a lower bound on the minimum distance, and further present an algebraic encoding and decoding algorithm.