Information on Result #1725690
Digital (76, 92, 137258)-net over F7, using net defined by OOA based on linear OOA(792, 137258, F7, 21, 16) (dual of [(137258, 21), 2882326, 17]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(792, 411775, F7, 3, 16) (dual of [(411775, 3), 1235233, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(792, 411775, F7, 2, 16) (dual of [(411775, 2), 823458, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(792, 823550, F7, 16) (dual of [823550, 823458, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(792, 823543, F7, 16) (dual of [823543, 823451, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(785, 823543, F7, 15) (dual of [823543, 823458, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 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
- OOA 2-folding [i] based on linear OA(792, 823550, F7, 16) (dual of [823550, 823458, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(792, 411775, F7, 2, 16) (dual of [(411775, 2), 823458, 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.