Information on Result #614947
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
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(8100, 262154, F8, 18) (dual of [262154, 262054, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8101, 262158, F8, 18) (dual of [262158, 262057, 19]-code) | [i] | ||
| 3 | Linear OA(8102, 262161, F8, 18) (dual of [262161, 262059, 19]-code) | [i] | ||
| 4 | Linear OA(8103, 262168, F8, 18) (dual of [262168, 262065, 19]-code) | [i] | ||
| 5 | Linear OA(897, 262150, F8, 19) (dual of [262150, 262053, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(891, 262150, F8, 18) (dual of [262150, 262059, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(8104, 262157, F8, 20) (dual of [262157, 262053, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(893, 262153, F8, 18) (dual of [262153, 262060, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(894, 262159, F8, 18) (dual of [262159, 262065, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(8112, 262165, F8, 21) (dual of [262165, 262053, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(895, 262166, F8, 18) (dual of [262166, 262071, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(8119, 262172, F8, 22) (dual of [262172, 262053, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(897, 262174, F8, 18) (dual of [262174, 262077, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(8127, 262180, F8, 23) (dual of [262180, 262053, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(898, 262181, F8, 18) (dual of [262181, 262083, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(8138, 262191, F8, 25) (dual of [262191, 262053, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(8134, 262187, F8, 24) (dual of [262187, 262053, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(8102, 262191, F8, 18) (dual of [262191, 262089, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(8146, 262199, F8, 26) (dual of [262199, 262053, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(8153, 262206, F8, 27) (dual of [262206, 262053, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(8160, 262208, F8, 28) (dual of [262208, 262048, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(8163, 262216, F8, 28) (dual of [262216, 262053, 29]-code) | [i] | ✔ | |
| 23 | Linear OA(8161, 262211, F8, 28) (dual of [262211, 262050, 29]-code) | [i] | ✔ | |
| 24 | Linear OA(8162, 262214, F8, 28) (dual of [262214, 262052, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(8137, 262190, F8, 25) (dual of [262190, 262053, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(8101, 262190, F8, 18) (dual of [262190, 262089, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(8145, 262198, F8, 26) (dual of [262198, 262053, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(8120, 262174, F8, 22) (dual of [262174, 262054, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 29 | Linear OA(8105, 262159, F8, 20) (dual of [262159, 262054, 21]-code) | [i] | ✔ | |
| 30 | Linear OA(896, 262168, F8, 18) (dual of [262168, 262072, 19]-code) | [i] | ✔ | |
| 31 | Linear OOA(891, 29127, F8, 18, 18) (dual of [(29127, 18), 524195, 19]-NRT-code) | [i] | OA Folding and Stacking | |