Information on Result #682430
Linear OA(5113, 78125, F5, 21) (dual of [78125, 78012, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(5120, 78132, F5, 22) (dual of [78132, 78012, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5114, 78133, F5, 21) (dual of [78133, 78019, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(5114, 78140, F5, 20) (dual of [78140, 78026, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(5116, 78142, F5, 21) (dual of [78142, 78026, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(5137, 78149, F5, 24) (dual of [78149, 78012, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(5117, 78150, F5, 21) (dual of [78150, 78033, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(5149, 78161, F5, 26) (dual of [78161, 78012, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(5121, 78161, F5, 21) (dual of [78161, 78040, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(5117, 78151, F5, 20) (dual of [78151, 78034, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(5118, 78158, F5, 20) (dual of [78158, 78040, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(5125, 78172, F5, 21) (dual of [78172, 78047, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(5123, 78170, F5, 20) (dual of [78170, 78047, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(5147, 78155, F5, 26) (dual of [78155, 78008, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(5148, 78160, F5, 26) (dual of [78160, 78012, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(5119, 78155, F5, 21) (dual of [78155, 78036, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(5120, 78160, F5, 21) (dual of [78160, 78040, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(5124, 78170, F5, 21) (dual of [78170, 78046, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(5122, 78169, F5, 20) (dual of [78169, 78047, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(5148, 78155, F5, 26) (dual of [78155, 78007, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(5146, 78152, F5, 26) (dual of [78152, 78006, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(5136, 78142, F5, 24) (dual of [78142, 78006, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(5141, 78156, F5, 24) (dual of [78156, 78015, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(5140, 78154, F5, 24) (dual of [78154, 78014, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(5139, 78152, F5, 24) (dual of [78152, 78013, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(5122, 78135, F5, 22) (dual of [78135, 78013, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(5115, 78135, F5, 21) (dual of [78135, 78020, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(5115, 78142, F5, 20) (dual of [78142, 78027, 21]-code) | [i] | ✔ | |
| 28 | Linear OA(5120, 78155, F5, 21) (dual of [78155, 78035, 22]-code) | [i] | ✔ | |
| 29 | Linear OA(5118, 78152, F5, 21) (dual of [78152, 78034, 22]-code) | [i] | ✔ | |
| 30 | Linear OA(5114, 78148, F5, 19) (dual of [78148, 78034, 20]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 31 | Linear OOA(5113, 7812, F5, 21, 21) (dual of [(7812, 21), 163939, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |