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Lee metric codes over integer residue rings (Corresp.)

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1 Author(s)

A method for constructing Lee metric codes over arbitrary alphabet sizes using the elementary concepts of module theory is presented. The codes possess a high degree of symmetry. Codes with two information symbols over arbitrary alphabet sizes are cyclic reversible. For alphabet sizes which are a power of two or an odd prime number, codes with one information symbol are reversible and equidistant, and codes having more than two information symbols are quasi-cyclic reversible. Binary Reed-Muller codes arise as subcodes of the codes presented. A method of constructing equidistant Lee metric codes analogous to maximum length shift register codes is presented.

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Information Theory, IEEE Transactions on  (Volume:25 ,  Issue: 2 )