Information on Result #1726048
Digital (91, 110, 78434)-net over F7, using net defined by OOA based on linear OOA(7110, 78434, F7, 21, 19) (dual of [(78434, 21), 1647004, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(7110, 235303, F7, 3, 19) (dual of [(235303, 3), 705799, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7110, 235304, F7, 3, 19) (dual of [(235304, 3), 705802, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7110, 235304, F7, 19) (dual of [235304, 235194, 20]-code), using
- trace code [i] based on linear OA(4955, 117652, F49, 19) (dual of [117652, 117597, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(4955, 117649, F49, 19) (dual of [117649, 117594, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4952, 117649, F49, 18) (dual of [117649, 117597, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [i] based on
- trace code [i] based on linear OA(4955, 117652, F49, 19) (dual of [117652, 117597, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(7110, 235304, F7, 19) (dual of [235304, 235194, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(7110, 235304, F7, 3, 19) (dual of [(235304, 3), 705802, 20]-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.