Information on Result #731161
Linear OA(890, 524310, F8, 15) (dual of [524310, 524220, 16]-code), using trace code based on linear OA(6445, 262155, F64, 15) (dual of [262155, 262110, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(11) [i] based on
- linear OA(6443, 262144, F64, 15) (dual of [262144, 262101, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(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(891, 524311, F8, 15) (dual of [524311, 524220, 16]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(890, 262155, F8, 2, 15) (dual of [(262155, 2), 524220, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(890, 174770, F8, 3, 15) (dual of [(174770, 3), 524220, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(890, 74901, F8, 15, 15) (dual of [(74901, 15), 1123425, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |