Information on Result #1736976
Digital (64, 85, 78129)-net over F25, using net defined by OOA based on linear OOA(2585, 78129, F25, 22, 21) (dual of [(78129, 22), 1718753, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2585, 390646, F25, 2, 21) (dual of [(390646, 2), 781207, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2585, 390649, F25, 2, 21) (dual of [(390649, 2), 781213, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2585, 390649, F25, 21) (dual of [390649, 390564, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- linear OA(2581, 390625, F25, 21) (dual of [390625, 390544, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(254, 24, F25, 4) (dual of [24, 20, 5]-code or 24-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2585, 390649, F25, 21) (dual of [390649, 390564, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(2585, 390649, F25, 2, 21) (dual of [(390649, 2), 781213, 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.