Information on Result #1737434
Digital (51, 77, 1557)-net over F25, using net defined by OOA based on linear OOA(2577, 1557, F25, 30, 26) (dual of [(1557, 30), 46633, 27]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(2577, 10900, F25, 2, 26) (dual of [(10900, 2), 21723, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2577, 10901, F25, 2, 26) (dual of [(10901, 2), 21725, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2577, 10901, F25, 26) (dual of [10901, 10824, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2577, 15641, F25, 26) (dual of [15641, 15564, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2561, 15625, F25, 21) (dual of [15625, 15564, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(254, 16, F25, 4) (dual of [16, 12, 5]-code or 16-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(25) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(2577, 15641, F25, 26) (dual of [15641, 15564, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2577, 10901, F25, 26) (dual of [10901, 10824, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(2577, 10901, F25, 2, 26) (dual of [(10901, 2), 21725, 27]-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.