Information on Result #683983
Linear OA(5120, 140, F5, 73) (dual of [140, 20, 74]-code), using construction X applied to C([0,36]) ⊂ C([0,32]) based on
- linear OA(5111, 126, F5, 73) (dual of [126, 15, 74]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,36], and minimum distance d ≥ |{−36,−35,…,36}|+1 = 74 (BCH-bound) [i]
- linear OA(5105, 126, F5, 65) (dual of [126, 21, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (BCH-bound) [i]
- linear OA(59, 14, F5, 7) (dual of [14, 5, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([1,3]) [i] based on
- linear OA(59, 13, F5, 7) (dual of [13, 4, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 13 | 54−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(58, 13, F5, 6) (dual of [13, 5, 7]-code), using the narrow-sense BCH-code C(I) with length 13 | 54−1, defining interval I = [1,3], and minimum distance d ≥ |{−5,−3,−1,…,5}|+1 = 7 (BCH-bound) [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to C([0,3]) ⊂ C([1,3]) [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.
Other Results with Identical Parameters
None.
Depending Results
None.