Information on Result #1725620
Digital (40, 56, 698)-net over F7, using net defined by OOA based on linear OOA(756, 698, F7, 21, 16) (dual of [(698, 21), 14602, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(756, 2095, F7, 3, 16) (dual of [(2095, 3), 6229, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(756, 2097, F7, 3, 16) (dual of [(2097, 3), 6235, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(756, 2097, F7, 16) (dual of [2097, 2041, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(756, 2412, F7, 16) (dual of [2412, 2356, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [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(745, 2401, F7, 13) (dual of [2401, 2356, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(73, 11, F7, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(756, 2412, F7, 16) (dual of [2412, 2356, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(756, 2097, F7, 16) (dual of [2097, 2041, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(756, 2097, F7, 3, 16) (dual of [(2097, 3), 6235, 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.