Information on Result #1197238
Digital (14, 19, 265749)-net over F27, using net defined by OOA based on linear OOA(2719, 265749, F27, 6, 5) (dual of [(265749, 6), 1594475, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2719, 265750, F27, 2, 5) (dual of [(265750, 2), 531481, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;54,27) [i]
- linear OOA(2717, 265722, F27, 2, 5) (dual of [(265722, 2), 531427, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2717, 531444, F27, 5) (dual of [531444, 531427, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(2717, 531445, F27, 5) (dual of [531445, 531428, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(2717, 531441, F27, 5) (dual of [531441, 531424, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(2713, 531441, F27, 4) (dual of [531441, 531428, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(4) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(2717, 531445, F27, 5) (dual of [531445, 531428, 6]-code), using
- OOA 2-folding [i] based on linear OA(2717, 531444, F27, 5) (dual of [531444, 531427, 6]-code), using
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), 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.