Information on Result #837510
Linear OOA(5138, 1576, F5, 2, 33) (dual of [(1576, 2), 3014, 34]-NRT-code), using OOA 2-folding based on linear OA(5138, 3152, F5, 33) (dual of [3152, 3014, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(5138, 3153, F5, 33) (dual of [3153, 3015, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,13]) [i] based on
- linear OA(5131, 3126, F5, 33) (dual of [3126, 2995, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(5111, 3126, F5, 27) (dual of [3126, 3015, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(57, 27, F5, 5) (dual of [27, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 28, F5, 5) (dual of [28, 21, 6]-code), using
- construction X applied to C([0,16]) ⊂ C([0,13]) [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.