Information on Result #619686
Linear OA(12843, 142, F128, 31) (dual of [142, 99, 32]-code), using construction X applied to C([0,15]) ⊂ C([1,15]) based on
- linear OA(12831, 129, F128, 31) (dual of [129, 98, 32]-code or 129-arc in PG(30,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(12830, 129, F128, 18) (dual of [129, 99, 19]-code), using the narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [1,15], and minimum distance d ≥ |{1,2,…,13}| + |{−14,2,18,…,0}∖{−32,−48,−64,49,33,17,−31,−47,−63,50,34,18}| = 19 (general Roos-bound) [i]
- linear OA(12812, 13, F128, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,128)), using
- dual of repetition code with length 13 [i]
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.
Other Results with Identical Parameters
None.
Depending Results
None.