Information on Result #686462
Linear OA(819, 262150, F8, 4) (dual of [262150, 262131, 5]-code), using construction X applied to Ce(3) ⊂ Ce(2) based on
- linear OA(819, 262144, F8, 4) (dual of [262144, 262125, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(813, 262144, F8, 3) (dual of [262144, 262131, 4]-code or 262144-cap in PG(12,8)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(819, 262150, F8, 2, 4) (dual of [(262150, 2), 524281, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(819, 262150, F8, 3, 4) (dual of [(262150, 3), 786431, 5]-NRT-code) | [i] | ||
| 3 | Linear OOA(819, 131075, F8, 2, 4) (dual of [(131075, 2), 262131, 5]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(819, 131075, F8, 3, 4) (dual of [(131075, 3), 393206, 5]-NRT-code) | [i] | OA Folding and Stacking | |