Information on Result #1725622
Digital (41, 57, 803)-net over F7, using net defined by OOA based on linear OOA(757, 803, F7, 21, 16) (dual of [(803, 21), 16806, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(757, 2410, F7, 3, 16) (dual of [(2410, 3), 7173, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(757, 2411, F7, 3, 16) (dual of [(2411, 3), 7176, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(757, 2411, F7, 16) (dual of [2411, 2354, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(757, 2417, F7, 16) (dual of [2417, 2360, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [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(741, 2401, F7, 12) (dual of [2401, 2360, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,7)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(757, 2417, F7, 16) (dual of [2417, 2360, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(757, 2411, F7, 16) (dual of [2411, 2354, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(757, 2411, F7, 3, 16) (dual of [(2411, 3), 7176, 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.