Information on Result #1791015
Digital (77, 94, 117690)-net over F7, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(794, 117690, F7, 17) (dual of [117690, 117596, 18]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(792, 117686, F7, 17) (dual of [117686, 117594, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(10) [i] based on
- linear OA(785, 117649, F7, 17) (dual of [117649, 117564, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(755, 117649, F7, 11) (dual of [117649, 117594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(77, 37, F7, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- construction X applied to Ce(16) ⊂ Ce(10) [i] based on
- linear OA(792, 117688, F7, 16) (dual of [117688, 117596, 17]-code), using Gilbert–Varšamov bound and bm = 792 > Vbs−1(k−1) = 4133 503054 026691 013881 837938 333763 084236 062351 864580 252783 722125 925917 540471 [i]
- linear OA(70, 2, F7, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(792, 117686, F7, 17) (dual of [117686, 117594, 18]-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.