Information on Result #735147
Linear OA(6422, 262213, F64, 7) (dual of [262213, 262191, 8]-code), using (u, u+v)-construction based on
- linear OA(643, 66, F64, 3) (dual of [66, 63, 4]-code or 66-arc in PG(2,64) or 66-cap in PG(2,64)), using
- linear OA(6419, 262147, F64, 7) (dual of [262147, 262128, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [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(6422, 262213, F64, 2, 7) (dual of [(262213, 2), 524404, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6422, 262213, F64, 3, 7) (dual of [(262213, 3), 786617, 8]-NRT-code) | [i] | ||
| 3 | Digital (15, 22, 262213)-net over F64 | [i] | ||
| 4 | Linear OOA(6422, 131106, F64, 2, 7) (dual of [(131106, 2), 262190, 8]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6422, 87404, F64, 3, 7) (dual of [(87404, 3), 262190, 8]-NRT-code) | [i] | ||