Information on Result #1792601
Digital (62, 79, 32802)-net over F8, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(879, 32802, F8, 17) (dual of [32802, 32723, 18]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(878, 32800, F8, 17) (dual of [32800, 32722, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(10) [i] based on
- linear OA(871, 32768, F8, 17) (dual of [32768, 32697, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(16) ⊂ Ce(10) [i] based on
- linear OA(878, 32801, F8, 16) (dual of [32801, 32723, 17]-code), using Gilbert–Varšamov bound and bm = 878 > Vbs−1(k−1) = 198 023418 585156 007258 150284 859167 982640 685729 291439 038544 193125 469661 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(878, 32800, F8, 17) (dual of [32800, 32722, 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.