Information on Result #1190860
Digital (59, 80, 243)-net over F7, using net defined by OOA based on linear OOA(780, 243, F7, 21, 21) (dual of [(243, 21), 5023, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(780, 2431, F7, 21) (dual of [2431, 2351, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(780, 2433, F7, 21) (dual of [2433, 2353, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(773, 2402, F7, 21) (dual of [2402, 2329, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(749, 2402, F7, 15) (dual of [2402, 2353, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(77, 31, F7, 5) (dual of [31, 24, 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 C([0,10]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(780, 2433, F7, 21) (dual of [2433, 2353, 22]-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.