Information on Result #614886
Linear OA(878, 2097152, F8, 13) (dual of [2097152, 2097074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(884, 2097161, F8, 13) (dual of [2097161, 2097077, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(885, 2097166, F8, 13) (dual of [2097166, 2097081, 14]-code) | [i] | ||
| 3 | Linear OA(886, 2097169, F8, 13) (dual of [2097169, 2097083, 14]-code) | [i] | ||
| 4 | Linear OA(887, 2097176, F8, 13) (dual of [2097176, 2097089, 14]-code) | [i] | ||
| 5 | Linear OA(888, 2097178, F8, 13) (dual of [2097178, 2097090, 14]-code) | [i] | ||
| 6 | Linear OOA(878, 1470768, F8, 2, 13) (dual of [(1470768, 2), 2941458, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(878, 1470768, F8, 3, 13) (dual of [(1470768, 3), 4412226, 14]-NRT-code) | [i] | ||
| 8 | Digital (65, 78, 1470768)-net over F8 | [i] | ||
| 9 | Linear OA(887, 2097162, F8, 13) (dual of [2097162, 2097075, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(888, 2097170, F8, 13) (dual of [2097170, 2097082, 14]-code) | [i] | ||
| 11 | Linear OA(885, 2097159, F8, 14) (dual of [2097159, 2097074, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(878, 2097159, F8, 13) (dual of [2097159, 2097081, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(893, 2097167, F8, 15) (dual of [2097167, 2097074, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(879, 2097167, F8, 13) (dual of [2097167, 2097088, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(8103, 2097177, F8, 17) (dual of [2097177, 2097074, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(881, 2097176, F8, 13) (dual of [2097176, 2097095, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(8112, 2097186, F8, 18) (dual of [2097186, 2097074, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(882, 2097184, F8, 13) (dual of [2097184, 2097102, 14]-code) | [i] | ✔ | |
| 19 | Linear OA(8120, 2097194, F8, 19) (dual of [2097194, 2097074, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(885, 2097194, F8, 13) (dual of [2097194, 2097109, 14]-code) | [i] | ✔ | |
| 21 | Linear OA(8131, 2097205, F8, 20) (dual of [2097205, 2097074, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(8140, 2097214, F8, 21) (dual of [2097214, 2097074, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(8149, 2097217, F8, 22) (dual of [2097217, 2097068, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(8150, 2097224, F8, 22) (dual of [2097224, 2097074, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(8159, 2097233, F8, 23) (dual of [2097233, 2097074, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(8149, 2097219, F8, 22) (dual of [2097219, 2097070, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(8130, 2097204, F8, 20) (dual of [2097204, 2097074, 21]-code) | [i] | ✔ | |
| 28 | Linear OA(8111, 2097179, F8, 18) (dual of [2097179, 2097068, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 29 | Linear OA(8101, 2097169, F8, 16) (dual of [2097169, 2097068, 17]-code) | [i] | ✔ | |
| 30 | Linear OA(8104, 2097179, F8, 17) (dual of [2097179, 2097075, 18]-code) | [i] | ✔ | |
| 31 | Linear OA(893, 2097168, F8, 15) (dual of [2097168, 2097075, 16]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 32 | Linear OA(879, 2097168, F8, 13) (dual of [2097168, 2097089, 14]-code) | [i] | ✔ | |