Information on Result #683876
Linear OA(5102, 327, F5, 33) (dual of [327, 225, 34]-code), using construction XX applied to C([0,16]) ⊂ C([0,15]) ⊂ C([0,13]) based on
- linear OA(597, 313, F5, 33) (dual of [313, 216, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 313 | 58−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(589, 313, F5, 31) (dual of [313, 224, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 313 | 58−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(581, 313, F5, 27) (dual of [313, 232, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 313 | 58−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(51, 10, F5, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(53, 4, F5, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,5) or 4-cap in PG(2,5)), using
- dual of repetition code with length 4 [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.