Information on Result #1222020
Digital (17, 28, 292)-net over F27, using (u, u+v)-construction based on
- digital (2, 7, 351)-net over F27, using
- net defined by OOA [i] based on linear OOA(277, 351, F27, 5, 5) (dual of [(351, 5), 1748, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(277, 703, F27, 5) (dual of [703, 696, 6]-code), using
- net defined by OOA [i] based on linear OOA(277, 351, F27, 5, 5) (dual of [(351, 5), 1748, 6]-NRT-code), using
- digital (10, 21, 146)-net over F27, using
- net defined by OOA [i] based on linear OOA(2721, 146, F27, 11, 11) (dual of [(146, 11), 1585, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2721, 731, F27, 11) (dual of [731, 710, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(2721, 729, F27, 11) (dual of [729, 708, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2719, 729, F27, 10) (dual of [729, 710, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- OOA 5-folding and stacking with additional row [i] based on linear OA(2721, 731, F27, 11) (dual of [731, 710, 12]-code), using
- net defined by OOA [i] based on linear OOA(2721, 146, F27, 11, 11) (dual of [(146, 11), 1585, 12]-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.