Information on Result #1197322
Digital (21, 28, 177157)-net over F27, using net defined by OOA based on linear OOA(2728, 177157, F27, 7, 7) (dual of [(177157, 7), 1240071, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2728, 531472, F27, 7) (dual of [531472, 531444, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2728, 531473, F27, 7) (dual of [531473, 531445, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(273, 28, F27, 3) (dual of [28, 25, 4]-code or 28-arc in PG(2,27) or 28-cap in PG(2,27)), using
- extended Reed–Solomon code RSe(25,27) [i]
- oval in PG(2, 27) [i]
- linear OA(2725, 531445, F27, 7) (dual of [531445, 531420, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- 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(2721, 531441, F27, 6) (dual of [531441, 531420, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- linear OA(273, 28, F27, 3) (dual of [28, 25, 4]-code or 28-arc in PG(2,27) or 28-cap in PG(2,27)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2728, 531473, F27, 7) (dual of [531473, 531445, 8]-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.