Information on Result #614896
Linear OA(873, 262144, F8, 14) (dual of [262144, 262071, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(873, 198056, F8, 2, 14) (dual of [(198056, 2), 396039, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(873, 198056, F8, 3, 14) (dual of [(198056, 3), 594095, 15]-NRT-code) | [i] | ||
| 3 | Digital (59, 73, 198056)-net over F8 | [i] | ||
| 4 | Linear OA(879, 262150, F8, 15) (dual of [262150, 262071, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(873, 262150, F8, 14) (dual of [262150, 262077, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(886, 262157, F8, 16) (dual of [262157, 262071, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(887, 262153, F8, 17) (dual of [262153, 262066, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(888, 262159, F8, 17) (dual of [262159, 262071, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(874, 262157, F8, 14) (dual of [262157, 262083, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(895, 262166, F8, 18) (dual of [262166, 262071, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(876, 262165, F8, 14) (dual of [262165, 262089, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(8103, 262174, F8, 19) (dual of [262174, 262071, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(877, 262172, F8, 14) (dual of [262172, 262095, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(8110, 262181, F8, 20) (dual of [262181, 262071, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(879, 262180, F8, 14) (dual of [262180, 262101, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(8120, 262191, F8, 21) (dual of [262191, 262071, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(8143, 262209, F8, 25) (dual of [262209, 262066, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(8145, 262213, F8, 25) (dual of [262213, 262068, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(8102, 262168, F8, 19) (dual of [262168, 262066, 20]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(896, 262168, F8, 18) (dual of [262168, 262072, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(887, 262159, F8, 16) (dual of [262159, 262072, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(875, 262159, F8, 14) (dual of [262159, 262084, 15]-code) | [i] | ✔ | |
| 23 | Linear OA(878, 262174, F8, 14) (dual of [262174, 262096, 15]-code) | [i] | ✔ | |