Information on Result #614907
Linear OA(879, 262144, F8, 15) (dual of [262144, 262065, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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 OOA(879, 212243, F8, 2, 15) (dual of [(212243, 2), 424407, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(879, 212243, F8, 3, 15) (dual of [(212243, 3), 636650, 16]-NRT-code) | [i] | ||
| 3 | Digital (64, 79, 212243)-net over F8 | [i] | ||
| 4 | Linear OA(886, 262151, F8, 17) (dual of [262151, 262065, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(879, 262150, F8, 15) (dual of [262150, 262071, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(893, 262153, F8, 18) (dual of [262153, 262060, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(894, 262159, F8, 18) (dual of [262159, 262065, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(880, 262157, F8, 15) (dual of [262157, 262077, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(8101, 262166, F8, 19) (dual of [262166, 262065, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(882, 262165, F8, 15) (dual of [262165, 262083, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(8109, 262174, F8, 20) (dual of [262174, 262065, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(883, 262172, F8, 15) (dual of [262172, 262089, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(8116, 262181, F8, 21) (dual of [262181, 262065, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(885, 262180, F8, 15) (dual of [262180, 262095, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(8126, 262191, F8, 22) (dual of [262191, 262065, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(8142, 262207, F8, 25) (dual of [262207, 262065, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(8149, 262209, F8, 26) (dual of [262209, 262060, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(8151, 262213, F8, 26) (dual of [262213, 262062, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(8108, 262168, F8, 20) (dual of [262168, 262060, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(8102, 262168, F8, 19) (dual of [262168, 262066, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(881, 262159, F8, 15) (dual of [262159, 262078, 16]-code) | [i] | ✔ | |
| 22 | Linear OA(884, 262174, F8, 15) (dual of [262174, 262090, 16]-code) | [i] | ✔ | |
| 23 | Linear OOA(879, 37449, F8, 15, 15) (dual of [(37449, 15), 561656, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |