Information on Result #1738420
Digital (32, 43, 177151)-net over F27, using net defined by OOA based on linear OOA(2743, 177151, F27, 14, 11) (dual of [(177151, 14), 2480071, 12]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2743, 531454, F27, 2, 11) (dual of [(531454, 2), 1062865, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2743, 531455, F27, 2, 11) (dual of [(531455, 2), 1062867, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2743, 531455, F27, 11) (dual of [531455, 531412, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(2741, 531441, F27, 11) (dual of [531441, 531400, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2729, 531441, F27, 8) (dual of [531441, 531412, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(10) ⊂ Ce(7) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2743, 531455, F27, 11) (dual of [531455, 531412, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(2743, 531455, F27, 2, 11) (dual of [(531455, 2), 1062867, 12]-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.