Information on Result #614011
Linear OA(5119, 625, F5, 38) (dual of [625, 506, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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(5138, 645, F5, 38) (dual of [645, 507, 39]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5141, 651, F5, 38) (dual of [651, 510, 39]-code) | [i] | ||
| 3 | Linear OA(5123, 629, F5, 39) (dual of [629, 506, 40]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(5119, 629, F5, 38) (dual of [629, 510, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(5128, 634, F5, 40) (dual of [634, 506, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(5130, 636, F5, 41) (dual of [636, 506, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(5120, 634, F5, 38) (dual of [634, 514, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(5135, 641, F5, 42) (dual of [641, 506, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(5123, 641, F5, 38) (dual of [641, 518, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(5141, 645, F5, 43) (dual of [645, 504, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(5142, 648, F5, 43) (dual of [648, 506, 44]-code) | [i] | ✔ | |
| 12 | Linear OA(5125, 645, F5, 38) (dual of [645, 520, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(5126, 648, F5, 38) (dual of [648, 522, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(5148, 652, F5, 44) (dual of [652, 504, 45]-code) | [i] | ✔ | |
| 15 | Linear OA(5149, 655, F5, 44) (dual of [655, 506, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(5128, 652, F5, 38) (dual of [652, 524, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(5129, 655, F5, 38) (dual of [655, 526, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(5131, 661, F5, 38) (dual of [661, 530, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(5135, 669, F5, 38) (dual of [669, 534, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(5137, 675, F5, 38) (dual of [675, 538, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(5141, 683, F5, 38) (dual of [683, 542, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(5143, 687, F5, 38) (dual of [687, 544, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(5147, 650, F5, 44) (dual of [650, 503, 45]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(5150, 657, F5, 44) (dual of [657, 507, 45]-code) | [i] | ✔ | |
| 25 | Linear OA(5140, 643, F5, 43) (dual of [643, 503, 44]-code) | [i] | ✔ | |
| 26 | Linear OA(5143, 650, F5, 43) (dual of [650, 507, 44]-code) | [i] | ✔ | |
| 27 | Linear OA(5136, 643, F5, 42) (dual of [643, 507, 43]-code) | [i] | ✔ | |
| 28 | Linear OA(5129, 632, F5, 41) (dual of [632, 503, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(5129, 636, F5, 40) (dual of [636, 507, 41]-code) | [i] | ✔ | |
| 30 | Linear OA(5122, 637, F5, 38) (dual of [637, 515, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(5124, 643, F5, 38) (dual of [643, 519, 39]-code) | [i] | ✔ | |
| 32 | Linear OA(5127, 650, F5, 38) (dual of [650, 523, 39]-code) | [i] | ✔ | |
| 33 | Linear OA(5130, 657, F5, 38) (dual of [657, 527, 39]-code) | [i] | ✔ | |