Information on Result #874121
Linear OOA(6455, 131073, F64, 2, 19) (dual of [(131073, 2), 262091, 20]-NRT-code), using OOA 2-folding based on linear OA(6455, 262146, F64, 19) (dual of [262146, 262091, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(6455, 262147, F64, 19) (dual of [262147, 262092, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(6464, 131138, F64, 2, 19) (dual of [(131138, 2), 262212, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6465, 131153, F64, 2, 19) (dual of [(131153, 2), 262241, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(6467, 131177, F64, 2, 19) (dual of [(131177, 2), 262287, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(6468, 131203, F64, 2, 19) (dual of [(131203, 2), 262338, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(6469, 131218, F64, 2, 19) (dual of [(131218, 2), 262367, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(6470, 131233, F64, 2, 19) (dual of [(131233, 2), 262396, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(6455, 103786, F64, 3, 19) (dual of [(103786, 3), 311303, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 8 | Digital (36, 55, 103786)-net over F64 | [i] | ||