Information on Result #1192778
Digital (146, 173, 161323)-net over F8, using net defined by OOA based on linear OOA(8173, 161323, F8, 27, 27) (dual of [(161323, 27), 4355548, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(8173, 2097200, F8, 27) (dual of [2097200, 2097027, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(8173, 2097205, F8, 27) (dual of [2097205, 2097032, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(19) [i] based on
- linear OA(8162, 2097152, F8, 27) (dual of [2097152, 2096990, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8120, 2097152, F8, 20) (dual of [2097152, 2097032, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(811, 53, F8, 6) (dual of [53, 42, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- construction X applied to Ce(26) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(8173, 2097205, F8, 27) (dual of [2097205, 2097032, 28]-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.