Information on Result #1737514
Digital (54, 81, 1800)-net over F25, using net defined by OOA based on linear OOA(2581, 1800, F25, 30, 27) (dual of [(1800, 30), 53919, 28]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(2581, 12601, F25, 2, 27) (dual of [(12601, 2), 25121, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2581, 12601, F25, 27) (dual of [12601, 12520, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2581, 15645, F25, 27) (dual of [15645, 15564, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(20) [i] based on
- linear OA(2576, 15625, F25, 27) (dual of [15625, 15549, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(255, 20, F25, 5) (dual of [20, 15, 6]-code or 20-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(26) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(2581, 15645, F25, 27) (dual of [15645, 15564, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2581, 12601, F25, 27) (dual of [12601, 12520, 28]-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.