Information on Result #1742684
Digital (69, 105, 1947)-net over F32, using net defined by OOA based on linear OOA(32105, 1947, F32, 38, 36) (dual of [(1947, 38), 73881, 37]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OOA(32105, 17524, F32, 2, 36) (dual of [(17524, 2), 34943, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(32105, 17526, F32, 2, 36) (dual of [(17526, 2), 34947, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(32105, 17526, F32, 36) (dual of [17526, 17421, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(32105, 32779, F32, 36) (dual of [32779, 32674, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(32) [i] based on
- linear OA(32103, 32768, F32, 36) (dual of [32768, 32665, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3294, 32768, F32, 33) (dual of [32768, 32674, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(322, 11, F32, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(35) ⊂ Ce(32) [i] based on
- discarding factors / shortening the dual code based on linear OA(32105, 32779, F32, 36) (dual of [32779, 32674, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(32105, 17526, F32, 36) (dual of [17526, 17421, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(32105, 17526, F32, 2, 36) (dual of [(17526, 2), 34947, 37]-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.