NEW CONSTRUCTION TECHNIQUE FOR
q-ARY HAMMING CODES FOR r=2, q≥3
q-ARY HAMMING CODES FOR r=2, q≥3
Abstract. In this paper, we explore a new construction technique for q-ary Hamming codes [q+1,q-1,3] for r=2 and q≥ 3 over GF(q).
We also establish its perfectness and investigate its duality by using the MDS property.
We also establish its perfectness and investigate its duality by using the MDS property.
AMS Subject Classification: 11T71, 94B05, 94D35, 94B60
Key Words and Phrases: linear code, generator matrix, parity-check matrix, perfect code, MDS code
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DOI: 10.12732/ijam.v28i6.12
Volume: 28
Issue: 6
Year: 2015
