Information on Result #1742686
Digital (70, 106, 2156)-net over F32, using net defined by OOA based on linear OOA(32106, 2156, F32, 38, 36) (dual of [(2156, 38), 81822, 37]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OOA(32106, 19405, F32, 2, 36) (dual of [(19405, 2), 38704, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(32106, 19408, F32, 2, 36) (dual of [(19408, 2), 38710, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(32106, 19408, F32, 36) (dual of [19408, 19302, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(32106, 32780, F32, 36) (dual of [32780, 32674, 37]-code), using
- 1 times code embedding in larger space [i] 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
- 1 times code embedding in larger space [i] based on linear OA(32105, 32779, F32, 36) (dual of [32779, 32674, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(32106, 32780, F32, 36) (dual of [32780, 32674, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(32106, 19408, F32, 36) (dual of [19408, 19302, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(32106, 19408, F32, 2, 36) (dual of [(19408, 2), 38710, 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.