Information on Result #680372
Linear OA(4253, 1061, F4, 64) (dual of [1061, 808, 65]-code), using construction XX applied to C([0,32]) ⊂ C([0,29]) ⊂ C([0,28]) based on
- 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(4221, 1025, F4, 59) (dual of [1025, 804, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (BCH-bound) [i]
- linear OA(4211, 1025, F4, 57) (dual of [1025, 814, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
- linear OA(47, 31, F4, 4) (dual of [31, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(41, 5, F4, 1) (dual of [5, 4, 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
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.