Information on Result #686543
Linear OA(8146, 262181, F8, 27) (dual of [262181, 262035, 28]-code), using construction X applied to Ce(26) ⊂ Ce(20) based on
- linear OA(8139, 262144, F8, 27) (dual of [262144, 262005, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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(8147, 262182, F8, 27) (dual of [262182, 262035, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8148, 262183, F8, 27) (dual of [262183, 262035, 28]-code) | [i] | ||
| 3 | Linear OA(8149, 262184, F8, 27) (dual of [262184, 262035, 28]-code) | [i] | ||
| 4 | Linear OA(8147, 262183, F8, 27) (dual of [262183, 262036, 28]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(8148, 262185, F8, 27) (dual of [262185, 262037, 28]-code) | [i] | ||
| 6 | Linear OA(8149, 262187, F8, 27) (dual of [262187, 262038, 28]-code) | [i] | ||
| 7 | Linear OOA(8146, 131090, F8, 2, 27) (dual of [(131090, 2), 262034, 28]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(8146, 87393, F8, 3, 27) (dual of [(87393, 3), 262033, 28]-NRT-code) | [i] | ||