Information on Result #1723514
Digital (115, 136, 48832)-net over F5, using net defined by OOA based on linear OOA(5136, 48832, F5, 27, 21) (dual of [(48832, 27), 1318328, 22]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5136, 195329, F5, 3, 21) (dual of [(195329, 3), 585851, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5136, 195332, F5, 3, 21) (dual of [(195332, 3), 585860, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5136, 195332, F5, 2, 21) (dual of [(195332, 2), 390528, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5136, 390664, F5, 21) (dual of [390664, 390528, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- linear OA(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(57, 39, F5, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(5136, 390664, F5, 21) (dual of [390664, 390528, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5136, 195332, F5, 2, 21) (dual of [(195332, 2), 390528, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5136, 195332, F5, 3, 21) (dual of [(195332, 3), 585860, 22]-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.