A cyclic (n, d, w)(q) code is a cyclic q-arycode of length n, constant weight w and Hamming distance at least d. The function C A(q) (n, d, w) denotes the largest possible size of a cyclic (n, d, w) q code. A new con...
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A cyclic (n, d, w)(q) code is a cyclic q-arycode of length n, constant weight w and Hamming distance at least d. The function C A(q) (n, d, w) denotes the largest possible size of a cyclic (n, d, w) q code. A new construction, which is based on two (n, 2, 1) cyclic difference packings with given properties, is proposed for optimal (n, 3, 3)(4)codes. As a result, the exact value of C A(4)(n, 3, 3) is determined for n 18 (mod 24), and the spectrum of C A(4)(n, 3, 3) is then completely determined.
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