Information on Result #1197368
Digital (25, 33, 132874)-net over F27, using net defined by OOA based on linear OOA(2733, 132874, F27, 10, 8) (dual of [(132874, 10), 1328707, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2733, 265749, F27, 2, 8) (dual of [(265749, 2), 531465, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2733, 265750, F27, 2, 8) (dual of [(265750, 2), 531467, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(274, 28, F27, 2, 4) (dual of [(28, 2), 52, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;52,27) [i]
- linear OOA(2729, 265722, F27, 2, 8) (dual of [(265722, 2), 531415, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2729, 531444, F27, 8) (dual of [531444, 531415, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2729, 531445, F27, 8) (dual of [531445, 531416, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(2729, 531441, F27, 8) (dual of [531441, 531412, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2725, 531441, F27, 7) (dual of [531441, 531416, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 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(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(2729, 531445, F27, 8) (dual of [531445, 531416, 9]-code), using
- OOA 2-folding [i] based on linear OA(2729, 531444, F27, 8) (dual of [531444, 531415, 9]-code), using
- linear OOA(274, 28, F27, 2, 4) (dual of [(28, 2), 52, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2733, 265750, F27, 2, 8) (dual of [(265750, 2), 531467, 9]-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.