Information on Result #1743124
Digital (13, 25, 601)-net over F49, using net defined by OOA based on linear OOA(4925, 601, F49, 15, 12) (dual of [(601, 15), 8990, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4925, 1203, F49, 3, 12) (dual of [(1203, 3), 3584, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4925, 1204, F49, 3, 12) (dual of [(1204, 3), 3587, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4925, 1204, F49, 2, 12) (dual of [(1204, 2), 2383, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4925, 2408, F49, 12) (dual of [2408, 2383, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(4925, 2409, F49, 12) (dual of [2409, 2384, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- linear OA(4923, 2401, F49, 12) (dual of [2401, 2378, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(4917, 2401, F49, 9) (dual of [2401, 2384, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(492, 8, F49, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,49)), using
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- Reed–Solomon code RS(47,49) [i]
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- construction X applied to Ce(11) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(4925, 2409, F49, 12) (dual of [2409, 2384, 13]-code), using
- OOA 2-folding [i] based on linear OA(4925, 2408, F49, 12) (dual of [2408, 2383, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4925, 1204, F49, 2, 12) (dual of [(1204, 2), 2383, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4925, 1204, F49, 3, 12) (dual of [(1204, 3), 3587, 13]-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.