Information on Result #1323823
Linear OA(8137, 262190, F8, 25) (dual of [262190, 262053, 26]-code), using construction X applied to Ce(24) ⊂ Ce(17) based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(810, 46, F8, 6) (dual of [46, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(810, 74, F8, 6) (dual of [74, 64, 7]-code), using
Mode: 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(8137, 262190, F8, 2, 25) (dual of [(262190, 2), 524243, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8137, 262190, F8, 3, 25) (dual of [(262190, 3), 786433, 26]-NRT-code) | [i] | ||
| 3 | Digital (112, 137, 262190)-net over F8 | [i] | ||
| 4 | Linear OA(8138, 262192, F8, 25) (dual of [262192, 262054, 26]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(8137, 131095, F8, 2, 25) (dual of [(131095, 2), 262053, 26]-NRT-code) | [i] | OOA Folding | |