Information on Result #698552
Linear OA(6458, 262171, F64, 18) (dual of [262171, 262113, 19]-code), using construction X applied to Ce(17) ⊂ Ce(10) based on
- 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(6431, 262144, F64, 11) (dual of [262144, 262113, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(646, 27, F64, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,64)), using
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
- Reed–Solomon code RS(58,64) [i]
- discarding factors / shortening the dual code based on linear OA(646, 64, F64, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
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(6458, 262171, F64, 2, 18) (dual of [(262171, 2), 524284, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6458, 262171, F64, 3, 18) (dual of [(262171, 3), 786455, 19]-NRT-code) | [i] | ||
| 3 | Digital (40, 58, 262171)-net over F64 | [i] | ||
| 4 | Linear OOA(6458, 131085, F64, 2, 18) (dual of [(131085, 2), 262112, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6458, 87390, F64, 3, 18) (dual of [(87390, 3), 262112, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(6458, 29130, F64, 18, 18) (dual of [(29130, 18), 524282, 19]-NRT-code) | [i] | OA Folding and Stacking | |