Information on Result #686442
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
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(8109, 153971, F8, 2, 21) (dual of [(153971, 2), 307833, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8109, 153971, F8, 3, 21) (dual of [(153971, 3), 461804, 22]-NRT-code) | [i] | ||
| 3 | Digital (88, 109, 153971)-net over F8 | [i] | ||
| 4 | Linear OA(8115, 262150, F8, 22) (dual of [262150, 262035, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(8109, 262150, F8, 21) (dual of [262150, 262041, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(8131, 262166, F8, 25) (dual of [262166, 262035, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(8112, 262165, F8, 21) (dual of [262165, 262053, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(8139, 262174, F8, 26) (dual of [262174, 262035, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(8146, 262181, F8, 27) (dual of [262181, 262035, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(8116, 262181, F8, 21) (dual of [262181, 262065, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(8156, 262191, F8, 28) (dual of [262191, 262035, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(8120, 262191, F8, 21) (dual of [262191, 262071, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(8164, 262199, F8, 29) (dual of [262199, 262035, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(8171, 262206, F8, 30) (dual of [262206, 262035, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(8155, 262190, F8, 28) (dual of [262190, 262035, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(8138, 262168, F8, 26) (dual of [262168, 262030, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(8129, 262159, F8, 24) (dual of [262159, 262030, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(8132, 262168, F8, 25) (dual of [262168, 262036, 26]-code) | [i] | ✔ | |
| 19 | Linear OOA(8109, 26214, F8, 21, 21) (dual of [(26214, 21), 550385, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |