Information on Result #625570
Linear OA(4130, 142, F4, 63) (dual of [142, 12, 64]-code), using repeating each code word 2 times based on linear OA(459, 71, F4, 31) (dual of [71, 12, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(459, 78, F4, 31) (dual of [78, 19, 32]-code), using
- construction X applied to C([0,92]) ⊂ C([0,77]) [i] based on
- linear OA(453, 63, F4, 31) (dual of [63, 10, 32]-code), using contraction [i] based on linear OA(4179, 189, F4, 95) (dual of [189, 10, 96]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,92], and minimum distance d ≥ |{−2,−1,…,92}|+1 = 96 (BCH-bound) [i]
- linear OA(444, 63, F4, 26) (dual of [63, 19, 27]-code), using contraction [i] based on linear OA(4170, 189, F4, 80) (dual of [189, 19, 81]-code), using the expurgated narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [0,77], and minimum distance d ≥ |{−2,−1,…,77}|+1 = 81 (BCH-bound) [i]
- linear OA(46, 15, F4, 4) (dual of [15, 9, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- construction X applied to C([0,92]) ⊂ C([0,77]) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.