Information on Result #1222621
Digital (37, 58, 256)-net over F27, using (u, u+v)-construction based on
- digital (9, 19, 146)-net over F27, using
- net defined by OOA [i] based on linear OOA(2719, 146, F27, 10, 10) (dual of [(146, 10), 1441, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2719, 730, F27, 10) (dual of [730, 711, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2719, 731, F27, 10) (dual of [731, 712, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- 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(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]
- 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(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(2719, 731, F27, 10) (dual of [731, 712, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(2719, 730, F27, 10) (dual of [730, 711, 11]-code), using
- net defined by OOA [i] based on linear OOA(2719, 146, F27, 10, 10) (dual of [(146, 10), 1441, 11]-NRT-code), using
- digital (18, 39, 128)-net over F27, using
- (u, u+v)-construction [i] based on
- digital (4, 14, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- digital (4, 25, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27 (see above)
- digital (4, 14, 64)-net over F27, using
- (u, u+v)-construction [i] based on
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.