Information on Result #1323813
Linear OA(8167, 2097213, F8, 26) (dual of [2097213, 2097046, 27]-code), using construction X applied to Ce(25) ⊂ Ce(17) based on
- linear OA(8155, 2097152, F8, 26) (dual of [2097152, 2096997, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(812, 61, F8, 7) (dual of [61, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(812, 73, F8, 7) (dual of [73, 61, 8]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(812, 73, F8, 7) (dual of [73, 61, 8]-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(8167, 2097213, F8, 2, 26) (dual of [(2097213, 2), 4194259, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8167, 2097213, F8, 3, 26) (dual of [(2097213, 3), 6291472, 27]-NRT-code) | [i] | ||
| 3 | Digital (141, 167, 2097213)-net over F8 | [i] | ||
| 4 | Linear OA(8168, 2097215, F8, 26) (dual of [2097215, 2097047, 27]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(8169, 2097217, F8, 26) (dual of [2097217, 2097048, 27]-code) | [i] | ||
| 6 | Linear OOA(8167, 1048606, F8, 2, 26) (dual of [(1048606, 2), 2097045, 27]-NRT-code) | [i] | OOA Folding | |