Information on Result #1727212
Digital (36, 48, 4100)-net over F8, using net defined by OOA based on linear OOA(848, 4100, F8, 15, 12) (dual of [(4100, 15), 61452, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(848, 8201, F8, 3, 12) (dual of [(8201, 3), 24555, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(848, 8202, F8, 3, 12) (dual of [(8202, 3), 24558, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(848, 8202, F8, 12) (dual of [8202, 8154, 13]-code), using
- trace code [i] based on linear OA(6424, 4101, F64, 12) (dual of [4101, 4077, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(6423, 4096, F64, 12) (dual of [4096, 4073, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- trace code [i] based on linear OA(6424, 4101, F64, 12) (dual of [4101, 4077, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(848, 8202, F8, 12) (dual of [8202, 8154, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(848, 8202, F8, 3, 12) (dual of [(8202, 3), 24558, 13]-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.