Information on Result #731261
Linear OA(8144, 524310, F8, 24) (dual of [524310, 524166, 25]-code), using trace code based on linear OA(6472, 262155, F64, 24) (dual of [262155, 262083, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(20) [i] 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(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(642, 11, F64, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), 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 OA(8145, 524311, F8, 24) (dual of [524311, 524166, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8144, 262155, F8, 2, 24) (dual of [(262155, 2), 524166, 25]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8144, 174770, F8, 3, 24) (dual of [(174770, 3), 524166, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(8144, 43692, F8, 24, 24) (dual of [(43692, 24), 1048464, 25]-NRT-code) | [i] | OA Folding and Stacking | |