Information on Result #613746
Linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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(5100, 78134, F5, 17) (dual of [78134, 78034, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5101, 78136, F5, 17) (dual of [78136, 78035, 18]-code) | [i] | ||
| 3 | Linear OA(5102, 78138, F5, 17) (dual of [78138, 78036, 18]-code) | [i] | ||
| 4 | Linear OA(5103, 78141, F5, 17) (dual of [78141, 78038, 18]-code) | [i] | ||
| 5 | Linear OA(5104, 78152, F5, 17) (dual of [78152, 78048, 18]-code) | [i] | ||
| 6 | Linear OA(5103, 78137, F5, 17) (dual of [78137, 78034, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(599, 78132, F5, 18) (dual of [78132, 78033, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(592, 78132, F5, 17) (dual of [78132, 78040, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(5107, 78140, F5, 19) (dual of [78140, 78033, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(595, 78142, F5, 17) (dual of [78142, 78047, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(5117, 78150, F5, 21) (dual of [78150, 78033, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(596, 78150, F5, 17) (dual of [78150, 78054, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(5128, 78161, F5, 22) (dual of [78161, 78033, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(5100, 78161, F5, 17) (dual of [78161, 78061, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(5137, 78170, F5, 23) (dual of [78170, 78033, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(5102, 78170, F5, 17) (dual of [78170, 78068, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(5146, 78179, F5, 24) (dual of [78179, 78033, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(5126, 78155, F5, 22) (dual of [78155, 78029, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(5127, 78160, F5, 22) (dual of [78160, 78033, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(598, 78155, F5, 17) (dual of [78155, 78057, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(599, 78160, F5, 17) (dual of [78160, 78061, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(5136, 78169, F5, 23) (dual of [78169, 78033, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(5101, 78169, F5, 17) (dual of [78169, 78068, 18]-code) | [i] | ✔ | |
| 24 | Linear OA(5127, 78155, F5, 22) (dual of [78155, 78028, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(5125, 78152, F5, 22) (dual of [78152, 78027, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(5115, 78142, F5, 20) (dual of [78142, 78027, 21]-code) | [i] | ✔ | |
| 27 | Linear OA(5120, 78155, F5, 21) (dual of [78155, 78035, 22]-code) | [i] | ✔ | |
| 28 | Linear OA(5118, 78152, F5, 21) (dual of [78152, 78034, 22]-code) | [i] | ✔ | |
| 29 | Linear OA(5108, 78142, F5, 19) (dual of [78142, 78034, 20]-code) | [i] | ✔ | |
| 30 | Linear OA(594, 78135, F5, 17) (dual of [78135, 78041, 18]-code) | [i] | ✔ | |
| 31 | Linear OA(599, 78155, F5, 17) (dual of [78155, 78056, 18]-code) | [i] | ✔ | |
| 32 | Linear OA(597, 78152, F5, 17) (dual of [78152, 78055, 18]-code) | [i] | ✔ | |
| 33 | Linear OA(5114, 78148, F5, 19) (dual of [78148, 78034, 20]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |