The Journal of the Indian Mathematical Society

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Quadratic Residues Codes of Prime Power Length over Z4


Affiliations
1 Department of Mathematics, GJU S and T, Hisar, 125001, India
2 Department of Mathematics, Dayanand College, Hisar 125001, India
     

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A set of n-tuples over Z4 is called a code over Z4. A particular interesting family of Z4 cyclic codes is quadratic residue codes. We define quadratic residue codes in terms of idempotent generators and show that these codes have many good properties which are analogous in many respects to the properties of quadratic residue codes over a field.

Keywords

Idempotent Generators, Z4cyclic Codes and Z4 Quadratic Residue Codes.
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  • Quadratic Residues Codes of Prime Power Length over Z4

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Authors

Seema Rani
Department of Mathematics, GJU S and T, Hisar, 125001, India
Inderjit Singh
Department of Mathematics, Dayanand College, Hisar 125001, India
Pankaj Kumar
Department of Mathematics, GJU S and T, Hisar, 125001, India

Abstract


A set of n-tuples over Z4 is called a code over Z4. A particular interesting family of Z4 cyclic codes is quadratic residue codes. We define quadratic residue codes in terms of idempotent generators and show that these codes have many good properties which are analogous in many respects to the properties of quadratic residue codes over a field.

Keywords


Idempotent Generators, Z4cyclic Codes and Z4 Quadratic Residue Codes.