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Quasi-perfect codes with small distance

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2 Author(s)
Etzion, T. ; Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel ; Mounits, B.

The main purpose of this paper is to give bounds on the length of the shortest and longest binary quasi-perfect codes with a given Hamming distance, covering radius, and redundancy. We consider codes with Hamming distance 4 and 5 and covering radius 2 and 3, respectively. We discuss the blockwise direct sum (BDS) construction which has an important role in finding these bounds.

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Information Theory, IEEE Transactions on  (Volume:51 ,  Issue: 11 )