Information on Result #613957
Linear OA(599, 625, F5, 32) (dual of [625, 526, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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(5115, 642, F5, 32) (dual of [642, 527, 33]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5118, 648, F5, 32) (dual of [648, 530, 33]-code) | [i] | ||
| 3 | Linear OA(5103, 629, F5, 33) (dual of [629, 526, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(599, 629, F5, 32) (dual of [629, 530, 33]-code) | [i] | ✔ | |
| 5 | Linear OA(5108, 634, F5, 34) (dual of [634, 526, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(5102, 636, F5, 32) (dual of [636, 534, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(5115, 641, F5, 36) (dual of [641, 526, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(5103, 641, F5, 32) (dual of [641, 538, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(5121, 645, F5, 37) (dual of [645, 524, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(5122, 648, F5, 37) (dual of [648, 526, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(5105, 645, F5, 32) (dual of [645, 540, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(5106, 648, F5, 32) (dual of [648, 542, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(5128, 652, F5, 38) (dual of [652, 524, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(5129, 655, F5, 38) (dual of [655, 526, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(5108, 652, F5, 32) (dual of [652, 544, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(5135, 661, F5, 39) (dual of [661, 526, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(5113, 661, F5, 32) (dual of [661, 548, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(5143, 669, F5, 41) (dual of [669, 526, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(5141, 667, F5, 40) (dual of [667, 526, 41]-code) | [i] | ✔ | |
| 20 | Linear OA(5115, 667, F5, 32) (dual of [667, 552, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(5149, 675, F5, 42) (dual of [675, 526, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(5117, 673, F5, 32) (dual of [673, 556, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(5119, 677, F5, 32) (dual of [677, 558, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(5134, 657, F5, 39) (dual of [657, 523, 40]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(5127, 650, F5, 38) (dual of [650, 523, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(5130, 657, F5, 38) (dual of [657, 527, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(5120, 643, F5, 37) (dual of [643, 523, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(5123, 650, F5, 37) (dual of [650, 527, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(5113, 636, F5, 35) (dual of [636, 523, 36]-code) | [i] | ✔ | |
| 30 | Linear OA(5116, 643, F5, 36) (dual of [643, 527, 37]-code) | [i] | ✔ | |
| 31 | Linear OA(5109, 636, F5, 34) (dual of [636, 527, 35]-code) | [i] | ✔ | |
| 32 | Linear OA(5101, 632, F5, 32) (dual of [632, 531, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(5104, 643, F5, 32) (dual of [643, 539, 33]-code) | [i] | ✔ | |
| 34 | Linear OA(5107, 650, F5, 32) (dual of [650, 543, 33]-code) | [i] | ✔ | |
| 35 | Linear OA(5111, 656, F5, 32) (dual of [656, 545, 33]-code) | [i] | ✔ | |
| 36 | Linear OA(5112, 658, F5, 32) (dual of [658, 546, 33]-code) | [i] | ✔ | |