Information on Result #1197738
Digital (45, 58, 88592)-net over F27, using net defined by OOA based on linear OOA(2758, 88592, F27, 14, 13) (dual of [(88592, 14), 1240230, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2758, 265777, F27, 2, 13) (dual of [(265777, 2), 531496, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2758, 265778, F27, 2, 13) (dual of [(265778, 2), 531498, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(279, 56, F27, 2, 6) (dual of [(56, 2), 103, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;53,27) [i]
- linear OOA(276, 28, F27, 2, 6) (dual of [(28, 2), 50, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;50,27) [i]
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2749, 265722, F27, 2, 13) (dual of [(265722, 2), 531395, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2749, 531444, F27, 13) (dual of [531444, 531395, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2749, 531445, F27, 13) (dual of [531445, 531396, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(2749, 531441, F27, 13) (dual of [531441, 531392, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(2749, 531445, F27, 13) (dual of [531445, 531396, 14]-code), using
- OOA 2-folding [i] based on linear OA(2749, 531444, F27, 13) (dual of [531444, 531395, 14]-code), using
- linear OOA(279, 56, F27, 2, 6) (dual of [(56, 2), 103, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2758, 265778, F27, 2, 13) (dual of [(265778, 2), 531498, 14]-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.