Information on Result #1190760
Digital (84, 102, 13077)-net over F7, using net defined by OOA based on linear OOA(7102, 13077, F7, 18, 18) (dual of [(13077, 18), 235284, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(7102, 117693, F7, 18) (dual of [117693, 117591, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(7102, 117696, F7, 18) (dual of [117696, 117594, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(10) [i] based on
- linear OA(791, 117649, F7, 18) (dual of [117649, 117558, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(755, 117649, F7, 11) (dual of [117649, 117594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(711, 47, F7, 6) (dual of [47, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(711, 48, F7, 6) (dual of [48, 37, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(711, 48, F7, 6) (dual of [48, 37, 7]-code), using
- construction X applied to Ce(17) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(7102, 117696, F7, 18) (dual of [117696, 117594, 19]-code), using
Mode: Constructive and 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.