Information on Result #1736008
Digital (17, 25, 7819)-net over F25, using net defined by OOA based on linear OOA(2525, 7819, F25, 10, 8) (dual of [(7819, 10), 78165, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2525, 15639, F25, 2, 8) (dual of [(15639, 2), 31253, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2525, 15640, F25, 2, 8) (dual of [(15640, 2), 31255, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2525, 15640, F25, 8) (dual of [15640, 15615, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2510, 15625, F25, 4) (dual of [15625, 15615, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(253, 15, F25, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,25) or 15-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2525, 15640, F25, 8) (dual of [15640, 15615, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(2525, 15640, F25, 2, 8) (dual of [(15640, 2), 31255, 9]-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.