Information on Result #1736838
Digital (43, 63, 3129)-net over F25, using net defined by OOA based on linear OOA(2563, 3129, F25, 22, 20) (dual of [(3129, 22), 68775, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2563, 15646, F25, 2, 20) (dual of [(15646, 2), 31229, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2563, 15648, F25, 2, 20) (dual of [(15648, 2), 31233, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2563, 15648, F25, 20) (dual of [15648, 15585, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(2558, 15625, F25, 20) (dual of [15625, 15567, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2540, 15625, F25, 14) (dual of [15625, 15585, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(255, 23, F25, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2563, 15648, F25, 20) (dual of [15648, 15585, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(2563, 15648, F25, 2, 20) (dual of [(15648, 2), 31233, 21]-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.