Multi-dimensional irregular array codes and methods for forward error correction, and apparatuses and systems employing such codes and methods

摘要

Methods, apparatuses, and systems for encoding information symbols comprising loading information symbols into a data array with n⁽¹⁾ rows and n⁽²⁾ columns, wherein each column has k_i⁽¹⁾ information symbols, and wherein k⁽¹⁾ is an array that has at least two different values, encoding each column with a code C_i⁽¹⁾ from a family of nested codes C⁽¹⁾, wherein C⁽¹⁾ includes two different nested codes, and encoding each row with a code C⁽²⁾.