Information on Result #614975
Linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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(8113, 262155, F8, 20) (dual of [262155, 262042, 21]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8114, 262158, F8, 20) (dual of [262158, 262044, 21]-code) | [i] | ||
| 3 | Linear OA(8115, 262161, F8, 20) (dual of [262161, 262046, 21]-code) | [i] | ||
| 4 | Linear OOA(8103, 141420, F8, 2, 20) (dual of [(141420, 2), 282737, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(8103, 141420, F8, 3, 20) (dual of [(141420, 3), 424157, 21]-NRT-code) | [i] | ||
| 6 | Digital (83, 103, 141420)-net over F8 | [i] | ||
| 7 | Linear OA(8109, 262150, F8, 21) (dual of [262150, 262041, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(8103, 262150, F8, 20) (dual of [262150, 262047, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(8116, 262157, F8, 22) (dual of [262157, 262041, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(8104, 262157, F8, 20) (dual of [262157, 262053, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(8124, 262165, F8, 23) (dual of [262165, 262041, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(8106, 262165, F8, 20) (dual of [262165, 262059, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(8133, 262174, F8, 25) (dual of [262174, 262041, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(8131, 262172, F8, 24) (dual of [262172, 262041, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(8109, 262174, F8, 20) (dual of [262174, 262065, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(8140, 262181, F8, 26) (dual of [262181, 262041, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(8110, 262181, F8, 20) (dual of [262181, 262071, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(8150, 262191, F8, 27) (dual of [262191, 262041, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(8114, 262191, F8, 20) (dual of [262191, 262077, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(8158, 262199, F8, 28) (dual of [262199, 262041, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(8165, 262206, F8, 29) (dual of [262206, 262041, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(8172, 262208, F8, 30) (dual of [262208, 262036, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(8173, 262211, F8, 30) (dual of [262211, 262038, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(8149, 262190, F8, 27) (dual of [262190, 262041, 28]-code) | [i] | ✔ | |
| 25 | Linear OA(8132, 262168, F8, 25) (dual of [262168, 262036, 26]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 26 | Linear OA(8132, 262174, F8, 24) (dual of [262174, 262042, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(8117, 262159, F8, 22) (dual of [262159, 262042, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(8105, 262159, F8, 20) (dual of [262159, 262054, 21]-code) | [i] | ✔ | |
| 29 | Linear OA(8108, 262168, F8, 20) (dual of [262168, 262060, 21]-code) | [i] | ✔ | |