Information on Result #1743324
Digital (30, 45, 20685)-net over F49, using net defined by OOA based on linear OOA(4945, 20685, F49, 21, 15) (dual of [(20685, 21), 434340, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4945, 62056, F49, 3, 15) (dual of [(62056, 3), 186123, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4945, 62057, F49, 3, 15) (dual of [(62057, 3), 186126, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4945, 62057, F49, 15) (dual of [62057, 62012, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4945, 117660, F49, 15) (dual of [117660, 117615, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(11) [i] based on
- linear OA(4943, 117649, F49, 15) (dual of [117649, 117606, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(492, 11, F49, 2) (dual of [11, 9, 3]-code or 11-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(14) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(4945, 117660, F49, 15) (dual of [117660, 117615, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4945, 62057, F49, 15) (dual of [62057, 62012, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(4945, 62057, F49, 3, 15) (dual of [(62057, 3), 186126, 16]-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.