Information on Result #1725630
Digital (45, 61, 991)-net over F7, using net defined by OOA based on linear OOA(761, 991, F7, 21, 16) (dual of [(991, 21), 20750, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(761, 2974, F7, 3, 16) (dual of [(2974, 3), 8861, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(761, 2975, F7, 3, 16) (dual of [(2975, 3), 8864, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(761, 2975, F7, 16) (dual of [2975, 2914, 17]-code), using
- 562 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 0, 0, 1, 11 times 0, 1, 31 times 0, 1, 76 times 0, 1, 161 times 0, 1, 273 times 0) [i] based on linear OA(753, 2405, F7, 16) (dual of [2405, 2352, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(753, 2401, F7, 16) (dual of [2401, 2348, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(749, 2401, F7, 15) (dual of [2401, 2352, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 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
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- 562 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 0, 0, 1, 11 times 0, 1, 31 times 0, 1, 76 times 0, 1, 161 times 0, 1, 273 times 0) [i] based on linear OA(753, 2405, F7, 16) (dual of [2405, 2352, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(761, 2975, F7, 16) (dual of [2975, 2914, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(761, 2975, F7, 3, 16) (dual of [(2975, 3), 8864, 17]-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.