Information on Result #682427
Linear OA(5127, 78125, F5, 23) (dual of [78125, 77998, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(5134, 78132, F5, 24) (dual of [78132, 77998, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5127, 78132, F5, 23) (dual of [78132, 78005, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(5144, 78142, F5, 26) (dual of [78142, 77998, 27]-code) | [i] | ✔ | |
| 4 | Linear OA(5131, 78150, F5, 23) (dual of [78150, 78019, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(5135, 78161, F5, 23) (dual of [78161, 78026, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(5137, 78170, F5, 23) (dual of [78170, 78033, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(5139, 78179, F5, 23) (dual of [78179, 78040, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(5133, 78155, F5, 23) (dual of [78155, 78022, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(5134, 78160, F5, 23) (dual of [78160, 78026, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(5136, 78169, F5, 23) (dual of [78169, 78033, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(5143, 78135, F5, 26) (dual of [78135, 77992, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(5134, 78155, F5, 23) (dual of [78155, 78021, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(5132, 78152, F5, 23) (dual of [78152, 78020, 24]-code) | [i] | ✔ | |
| 14 | Linear OOA(5127, 7102, F5, 23, 23) (dual of [(7102, 23), 163219, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |