Information on Result #1722360
Digital (65, 78, 39079)-net over F5, using net defined by OOA based on linear OOA(578, 39079, F5, 15, 13) (dual of [(39079, 15), 586107, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(578, 78159, F5, 3, 13) (dual of [(78159, 3), 234399, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(578, 78160, F5, 3, 13) (dual of [(78160, 3), 234402, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(578, 78160, F5, 13) (dual of [78160, 78082, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- linear OA(571, 78125, F5, 13) (dual of [78125, 78054, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(543, 78125, F5, 8) (dual of [78125, 78082, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(57, 35, F5, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(578, 78160, F5, 13) (dual of [78160, 78082, 14]-code), using
- discarding factors / shortening the dual code based on linear OOA(578, 78160, F5, 3, 13) (dual of [(78160, 3), 234402, 14]-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.