Information on Result #1727014
Digital (47, 56, 1048604)-net over F8, using net defined by OOA based on linear OOA(856, 1048604, F8, 10, 9) (dual of [(1048604, 10), 10485984, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(856, 2097209, F8, 2, 9) (dual of [(2097209, 2), 4194362, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(856, 2097210, F8, 2, 9) (dual of [(2097210, 2), 4194364, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(856, 2097210, F8, 9) (dual of [2097210, 2097154, 10]-code), using
- (u, u+v)-construction [i] based on
- linear OA(86, 58, F8, 4) (dual of [58, 52, 5]-code), using
- a “Gra†code from Grassl’s database [i]
- linear OA(850, 2097152, F8, 9) (dual of [2097152, 2097102, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(86, 58, F8, 4) (dual of [58, 52, 5]-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(856, 2097210, F8, 9) (dual of [2097210, 2097154, 10]-code), using
- discarding factors / shortening the dual code based on linear OOA(856, 2097210, F8, 2, 9) (dual of [(2097210, 2), 4194364, 10]-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.