Information on Result #1724990
Digital (46, 56, 117651)-net over F7, using net defined by OOA based on linear OOA(756, 117651, F7, 15, 10) (dual of [(117651, 15), 1764709, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(756, 235303, F7, 3, 10) (dual of [(235303, 3), 705853, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(756, 235304, F7, 3, 10) (dual of [(235304, 3), 705856, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(756, 235304, F7, 10) (dual of [235304, 235248, 11]-code), using
- trace code [i] based on linear OA(4928, 117652, F49, 10) (dual of [117652, 117624, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4925, 117649, F49, 9) (dual of [117649, 117624, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- trace code [i] based on linear OA(4928, 117652, F49, 10) (dual of [117652, 117624, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(756, 235304, F7, 10) (dual of [235304, 235248, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(756, 235304, F7, 3, 10) (dual of [(235304, 3), 705856, 11]-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.