Information on Result #698587
Linear OA(6481, 262191, F64, 24) (dual of [262191, 262110, 25]-code), using construction X applied to Ce(23) ⊂ Ce(11) based on
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6411, 47, F64, 11) (dual of [47, 36, 12]-code or 47-arc in PG(10,64)), using
- discarding factors / shortening the dual code based on linear OA(6411, 64, F64, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), using
- Reed–Solomon code RS(53,64) [i]
- discarding factors / shortening the dual code based on linear OA(6411, 64, F64, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), 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(6481, 131095, F64, 2, 24) (dual of [(131095, 2), 262109, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6481, 87397, F64, 3, 24) (dual of [(87397, 3), 262110, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(6481, 21849, F64, 24, 24) (dual of [(21849, 24), 524295, 25]-NRT-code) | [i] | OA Folding and Stacking | |