Information on Result #2695614
Linear OOA(5129, 1051, F5, 3, 31) (dual of [(1051, 3), 3024, 32]-NRT-code), using 51 times duplication based on linear OOA(5128, 1051, F5, 3, 31) (dual of [(1051, 3), 3025, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(5128, 3153, F5, 31) (dual of [3153, 3025, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(5101, 3126, F5, 25) (dual of [3126, 3025, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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([0,15]) ⊂ C([0,12]) [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.