Information on Result #1724516
Digital (104, 137, 542)-net over F5, using net defined by OOA based on linear OOA(5137, 542, F5, 39, 33) (dual of [(542, 39), 21001, 34]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(5137, 3253, F5, 3, 33) (dual of [(3253, 3), 9622, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5137, 3258, F5, 3, 33) (dual of [(3258, 3), 9637, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5137, 3258, F5, 33) (dual of [3258, 3121, 34]-code), using
- 122 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 6 times 0, 1, 14 times 0, 1, 32 times 0, 1, 63 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
- 122 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 6 times 0, 1, 14 times 0, 1, 32 times 0, 1, 63 times 0) [i] based on linear OA(5131, 3130, F5, 33) (dual of [3130, 2999, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5137, 3258, F5, 33) (dual of [3258, 3121, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(5137, 3258, F5, 3, 33) (dual of [(3258, 3), 9637, 34]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.