Information on Result #1190702
Digital (78, 95, 14711)-net over F7, using net defined by OOA based on linear OOA(795, 14711, F7, 17, 17) (dual of [(14711, 17), 249992, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(795, 117689, F7, 17) (dual of [117689, 117594, 18]-code), using
- 3 times code embedding in larger space [i] based on linear OA(792, 117686, F7, 17) (dual of [117686, 117594, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(10) [i] based on
- linear OA(785, 117649, F7, 17) (dual of [117649, 117564, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(77, 37, F7, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- construction X applied to Ce(16) ⊂ Ce(10) [i] based on
- 3 times code embedding in larger space [i] based on linear OA(792, 117686, F7, 17) (dual of [117686, 117594, 18]-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.