Information on Result #1727552
Digital (68, 83, 87390)-net over F8, using net defined by OOA based on linear OOA(883, 87390, F8, 21, 15) (dual of [(87390, 21), 1835107, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(883, 262171, F8, 3, 15) (dual of [(262171, 3), 786430, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(883, 262172, F8, 3, 15) (dual of [(262172, 3), 786433, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(883, 262172, F8, 15) (dual of [262172, 262089, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- linear OA(879, 262144, F8, 15) (dual of [262144, 262065, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(855, 262144, F8, 11) (dual of [262144, 262089, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(84, 28, F8, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,8)), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(883, 262172, F8, 15) (dual of [262172, 262089, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(883, 262172, F8, 3, 15) (dual of [(262172, 3), 786433, 16]-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.