Information on Result #1739756
Digital (79, 105, 75923)-net over F27, using net defined by OOA based on linear OOA(27105, 75923, F27, 30, 26) (dual of [(75923, 30), 2277585, 27]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OOA(27105, 531462, F27, 2, 26) (dual of [(531462, 2), 1062819, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(27105, 531465, F27, 2, 26) (dual of [(531465, 2), 1062825, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27105, 531465, F27, 26) (dual of [531465, 531360, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [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(2781, 531441, F27, 21) (dual of [531441, 531360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(274, 24, F27, 4) (dual of [24, 20, 5]-code or 24-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27105, 531465, F27, 26) (dual of [531465, 531360, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(27105, 531465, F27, 2, 26) (dual of [(531465, 2), 1062825, 27]-NRT-code), using
Mode: 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.