Information on Result #1740674
Digital (21, 31, 10927)-net over F32, using net defined by OOA based on linear OOA(3231, 10927, F32, 14, 10) (dual of [(10927, 14), 152947, 11]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3231, 32782, F32, 2, 10) (dual of [(32782, 2), 65533, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3231, 32783, F32, 2, 10) (dual of [(32783, 2), 65535, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3231, 32783, F32, 10) (dual of [32783, 32752, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- linear OA(3228, 32768, F32, 10) (dual of [32768, 32740, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(323, 15, F32, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,32) or 15-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3231, 32783, F32, 10) (dual of [32783, 32752, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(3231, 32783, F32, 2, 10) (dual of [(32783, 2), 65535, 11]-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.