The main building block for the construction of a geometrically uniform coded modulation scheme is a subgroup of G/sup I/, where G is a group generating a low-dimensional signal constellation and I is ...

Abstract: The article discusses systematic cyclic linear block codes. A block code uses an encoder that accepts a block of message symbols, and generates a block of code word symbols at the output.

Further, an important subclass of linear block codes is cyclic codes. A code is cyclic if by cyclically shifting the components of the code word one place to the right, you get another valid code word ...

Cyclic and constacyclic codes form a pivotal class of linear error‐correcting codes that are defined over finite fields. Their algebraic structure, characterised by ideals in polynomial quotient ...