Information on Result #1737438
Digital (53, 79, 2036)-net over F25, using net defined by OOA based on linear OOA(2579, 2036, F25, 30, 26) (dual of [(2036, 30), 61001, 27]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(2579, 14253, F25, 2, 26) (dual of [(14253, 2), 28427, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2579, 14259, F25, 2, 26) (dual of [(14259, 2), 28439, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2579, 14259, F25, 26) (dual of [14259, 14180, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2579, 15649, F25, 26) (dual of [15649, 15570, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [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(2555, 15625, F25, 19) (dual of [15625, 15570, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(256, 24, F25, 6) (dual of [24, 18, 7]-code or 24-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(2579, 15649, F25, 26) (dual of [15649, 15570, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2579, 14259, F25, 26) (dual of [14259, 14180, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(2579, 14259, F25, 2, 26) (dual of [(14259, 2), 28439, 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.