Information on Result #614075
Linear OA(5143, 625, F5, 46) (dual of [625, 482, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46
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(5147, 629, F5, 47) (dual of [629, 482, 48]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5144, 630, F5, 46) (dual of [630, 486, 47]-code) | [i] | ✔ | |
| 3 | Linear OA(5144, 634, F5, 45) (dual of [634, 490, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(5146, 636, F5, 46) (dual of [636, 490, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(5147, 641, F5, 46) (dual of [641, 494, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(5149, 645, F5, 46) (dual of [645, 496, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(5150, 648, F5, 46) (dual of [648, 498, 47]-code) | [i] | ✔ | |
| 8 | Linear OA(5147, 645, F5, 45) (dual of [645, 498, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(5149, 647, F5, 46) (dual of [647, 498, 47]-code) | [i] | ✔ | |
| 10 | Linear OA(5149, 632, F5, 47) (dual of [632, 483, 48]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(5145, 632, F5, 46) (dual of [632, 487, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(5145, 636, F5, 45) (dual of [636, 491, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(5148, 643, F5, 46) (dual of [643, 495, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(5150, 650, F5, 45) (dual of [650, 500, 46]-code) | [i] | ✔ | |
| 15 | Linear OA(5149, 648, F5, 45) (dual of [648, 499, 46]-code) | [i] | ✔ | |