Information on Result #3175718
Digital (101, 127, 4545)-net over F9, using 1 times m-reduction based on digital (101, 128, 4545)-net over F9, using
- net defined by OOA [i] based on linear OOA(9128, 4545, F9, 27, 27) (dual of [(4545, 27), 122587, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(9128, 59086, F9, 27) (dual of [59086, 58958, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(9128, 59087, F9, 27) (dual of [59087, 58959, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- linear OA(9121, 59050, F9, 27) (dual of [59050, 58929, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(991, 59050, F9, 21) (dual of [59050, 58959, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to C([0,13]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(9128, 59087, F9, 27) (dual of [59087, 58959, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(9128, 59086, F9, 27) (dual of [59086, 58958, 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.