Information on Result #1371652
Linear OOA(5134, 1571, F5, 2, 33) (dual of [(1571, 2), 3008, 34]-NRT-code), using OOA 2-folding based on linear OA(5134, 3142, F5, 33) (dual of [3142, 3008, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(5134, 3143, F5, 33) (dual of [3143, 3009, 34]-code), using
- 10 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 6 times 0) [i] based on linear OA(5131, 3130, F5, 33) (dual of [3130, 2999, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(31) [i] based on
- linear OA(5131, 3125, F5, 33) (dual of [3125, 2994, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(5126, 3125, F5, 32) (dual of [3125, 2999, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 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 Ce(32) ⊂ Ce(31) [i] based on
- 10 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 6 times 0) [i] based on linear OA(5131, 3130, F5, 33) (dual of [3130, 2999, 34]-code), using
Mode: 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.