Information on Result #1725738
Digital (44, 61, 812)-net over F7, using net defined by OOA based on linear OOA(761, 812, F7, 21, 17) (dual of [(812, 21), 16991, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(761, 2437, F7, 3, 17) (dual of [(2437, 3), 7250, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(761, 2437, F7, 17) (dual of [2437, 2376, 18]-code), using
- 28 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 6 times 0, 1, 18 times 0) [i] based on linear OA(757, 2405, F7, 17) (dual of [2405, 2348, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(757, 2401, F7, 17) (dual of [2401, 2344, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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(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(16) ⊂ Ce(15) [i] based on
- 28 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 6 times 0, 1, 18 times 0) [i] based on linear OA(757, 2405, F7, 17) (dual of [2405, 2348, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(761, 2437, F7, 17) (dual of [2437, 2376, 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.