Information on Result #614046
Linear OA(5131, 625, F5, 42) (dual of [625, 494, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42
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(5135, 629, F5, 43) (dual of [629, 494, 44]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5131, 629, F5, 42) (dual of [629, 498, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(5140, 634, F5, 44) (dual of [634, 494, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(5134, 636, F5, 42) (dual of [636, 502, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(5147, 641, F5, 46) (dual of [641, 494, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(5135, 641, F5, 42) (dual of [641, 506, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(5137, 645, F5, 42) (dual of [645, 508, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(5138, 648, F5, 42) (dual of [648, 510, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(5140, 652, F5, 42) (dual of [652, 512, 43]-code) | [i] | ✔ | |
| 10 | Linear OA(5141, 655, F5, 42) (dual of [655, 514, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(5145, 663, F5, 42) (dual of [663, 518, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(5147, 669, F5, 42) (dual of [669, 522, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(5149, 675, F5, 42) (dual of [675, 526, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(5138, 652, F5, 42) (dual of [652, 514, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(5145, 636, F5, 45) (dual of [636, 491, 46]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(5148, 643, F5, 46) (dual of [643, 495, 47]-code) | [i] | ✔ | |
| 17 | Linear OA(5141, 636, F5, 44) (dual of [636, 495, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(5133, 632, F5, 42) (dual of [632, 499, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(5136, 643, F5, 42) (dual of [643, 507, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(5139, 650, F5, 42) (dual of [650, 511, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(5144, 660, F5, 42) (dual of [660, 516, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(5143, 658, F5, 42) (dual of [658, 515, 43]-code) | [i] | ✔ | |