Convolutional codes from unit schemes

Algebraic methods for the construction, design and analysis of series of convolutional codes using row or block structures of unit schemes are developed. The general methods lead to the construction and analysis of series and infinite series of types of convolutional codes and of codes with specific properties. Explicit examples are given and properties may be shown algebraically. Algebraic decoding methods are derived for some of the constructions. Convolutional codes at or near the maximum free distances attainable are constructible from the general method. Unit schemes with particular properties enables the construction, design and analysis of LDPC (low density parity check) convolutional codes and of self-dual and dual-containing convolutional codes.