Information on Result #1222539
Digital (89, 108, 932248)-net over F27, using (u, u+v)-construction based on
- digital (8, 17, 182)-net over F27, using
- net defined by OOA [i] based on linear OOA(2717, 182, F27, 9, 9) (dual of [(182, 9), 1621, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(2717, 729, F27, 9) (dual of [729, 712, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 4-folding and stacking with additional row [i] based on linear OA(2717, 729, F27, 9) (dual of [729, 712, 10]-code), using
- net defined by OOA [i] based on linear OOA(2717, 182, F27, 9, 9) (dual of [(182, 9), 1621, 10]-NRT-code), using
- digital (72, 91, 932066)-net over F27, using
- net defined by OOA [i] based on linear OOA(2791, 932066, F27, 19, 19) (dual of [(932066, 19), 17709163, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2791, 8388595, F27, 19) (dual of [8388595, 8388504, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2791, large, F27, 19) (dual of [large, large−91, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2791, large, F27, 19) (dual of [large, large−91, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(2791, 8388595, F27, 19) (dual of [8388595, 8388504, 20]-code), using
- net defined by OOA [i] based on linear OOA(2791, 932066, F27, 19, 19) (dual of [(932066, 19), 17709163, 20]-NRT-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.