Information on Result #3279541
(45, 70, 547)-net in base 27, using 272 times duplication based on (43, 68, 547)-net in base 27, using
- base change [i] based on digital (26, 51, 547)-net over F81, using
- 811 times duplication [i] based on digital (25, 50, 547)-net over F81, using
- net defined by OOA [i] based on linear OOA(8150, 547, F81, 25, 25) (dual of [(547, 25), 13625, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8150, 6565, F81, 25) (dual of [6565, 6515, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8150, 6567, F81, 25) (dual of [6567, 6517, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- discarding factors / shortening the dual code based on linear OA(8150, 6567, F81, 25) (dual of [6567, 6517, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(8150, 6565, F81, 25) (dual of [6565, 6515, 26]-code), using
- net defined by OOA [i] based on linear OOA(8150, 547, F81, 25, 25) (dual of [(547, 25), 13625, 26]-NRT-code), using
- 811 times duplication [i] based on digital (25, 50, 547)-net over F81, using
Mode: Constructive.
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.