Information on Result #3265633
Digital (78, 104, 40881)-net over F27, using 271 times duplication based on digital (77, 103, 40881)-net over F27, using
- net defined by OOA [i] based on linear OOA(27103, 40881, F27, 26, 26) (dual of [(40881, 26), 1062803, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(27103, 531453, F27, 26) (dual of [531453, 531350, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(27103, 531455, F27, 26) (dual of [531455, 531352, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(27101, 531441, F27, 26) (dual of [531441, 531340, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2789, 531441, F27, 23) (dual of [531441, 531352, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(272, 14, F27, 2) (dual of [14, 12, 3]-code or 14-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(27103, 531455, F27, 26) (dual of [531455, 531352, 27]-code), using
- OA 13-folding and stacking [i] based on linear OA(27103, 531453, F27, 26) (dual of [531453, 531350, 27]-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.