Information on Result #1727068
Digital (41, 51, 118540)-net over F8, using net defined by OOA based on linear OOA(851, 118540, F8, 15, 10) (dual of [(118540, 15), 1778049, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(851, 237081, F8, 3, 10) (dual of [(237081, 3), 711192, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(851, 237081, F8, 10) (dual of [237081, 237030, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(851, 262153, F8, 10) (dual of [262153, 262102, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(849, 262144, F8, 10) (dual of [262144, 262095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(837, 262144, F8, 7) (dual of [262144, 262107, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(851, 262153, F8, 10) (dual of [262153, 262102, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(851, 237081, F8, 10) (dual of [237081, 237030, 11]-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.