Information on Result #1190566
Digital (65, 80, 16812)-net over F7, using net defined by OOA based on linear OOA(780, 16812, F7, 15, 15) (dual of [(16812, 15), 252100, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(780, 117685, F7, 15) (dual of [117685, 117605, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(780, 117686, F7, 15) (dual of [117686, 117606, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(743, 117649, F7, 9) (dual of [117649, 117606, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(14) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(780, 117686, F7, 15) (dual of [117686, 117606, 16]-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.