Information on Result #698585
Linear OA(6474, 262187, F64, 22) (dual of [262187, 262113, 23]-code), using construction X applied to Ce(21) ⊂ Ce(10) based on
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(6410, 43, F64, 10) (dual of [43, 33, 11]-code or 43-arc in PG(9,64)), using
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- Reed–Solomon code RS(54,64) [i]
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), 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(6474, 131093, F64, 2, 22) (dual of [(131093, 2), 262112, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6474, 87395, F64, 3, 22) (dual of [(87395, 3), 262111, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(6474, 23835, F64, 22, 22) (dual of [(23835, 22), 524296, 23]-NRT-code) | [i] | OA Folding and Stacking | |