Information on Result #680370
Linear OA(4258, 1045, F4, 67) (dual of [1045, 787, 68]-code), using construction XX applied to C([0,33]) ⊂ C([0,32]) ⊂ C([0,30]) based on
- linear OA(4251, 1025, F4, 67) (dual of [1025, 774, 68]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,33], and minimum distance d ≥ |{−33,−32,…,33}|+1 = 68 (BCH-bound) [i]
- linear OA(4241, 1025, F4, 65) (dual of [1025, 784, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (BCH-bound) [i]
- linear OA(4231, 1025, F4, 61) (dual of [1025, 794, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
- linear OA(41, 14, F4, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
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.