Information on Result #604907
Linear OA(59, 10, F5, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,5)), using dual of repetition code with length 10
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(570, 635, F5, 19) (dual of [635, 565, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(585, 3135, F5, 19) (dual of [3135, 3050, 20]-code) | [i] | ||
| 3 | Linear OA(5100, 15635, F5, 19) (dual of [15635, 15535, 20]-code) | [i] | ||
| 4 | Linear OA(5115, 78135, F5, 19) (dual of [78135, 78020, 20]-code) | [i] | ||
| 5 | Linear OA(5130, 390635, F5, 19) (dual of [390635, 390505, 20]-code) | [i] | ||
| 6 | Linear OA(5145, 1953135, F5, 19) (dual of [1953135, 1952990, 20]-code) | [i] | ||
| 7 | Linear OA(566, 635, F5, 18) (dual of [635, 569, 19]-code) | [i] | ||
| 8 | Linear OA(580, 3135, F5, 18) (dual of [3135, 3055, 19]-code) | [i] | ||
| 9 | Linear OA(594, 15635, F5, 18) (dual of [15635, 15541, 19]-code) | [i] | ||
| 10 | Linear OA(5108, 78135, F5, 18) (dual of [78135, 78027, 19]-code) | [i] | ||
| 11 | Linear OA(5122, 390635, F5, 18) (dual of [390635, 390513, 19]-code) | [i] | ||
| 12 | Linear OA(5136, 1953135, F5, 18) (dual of [1953135, 1952999, 19]-code) | [i] | ||
| 13 | Linear OA(543, 50, F5, 29) (dual of [50, 7, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(5135, 3145, F5, 29) (dual of [3145, 3010, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(5130, 3145, F5, 28) (dual of [3145, 3015, 29]-code) | [i] | ||
| 16 | Linear OA(5125, 3145, F5, 27) (dual of [3145, 3020, 28]-code) | [i] | ||
| 17 | Linear OA(5146, 15645, F5, 27) (dual of [15645, 15499, 28]-code) | [i] | ||
| 18 | Linear OA(542, 4402, F5, 9) (dual of [4402, 4360, 10]-code) | [i] | Varšamov–Edel Lengthening | |
| 19 | Linear OA(558, 136, F5, 21) (dual of [136, 78, 22]-code) | [i] | Construction X with Cyclic Codes | |
| 20 | Linear OA(574, 636, F5, 21) (dual of [636, 562, 22]-code) | [i] | ||
| 21 | Linear OA(550, 390635, F5, 8) (dual of [390635, 390585, 9]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 22 | Linear OA(542, 390635, F5, 7) (dual of [390635, 390593, 8]-code) | [i] | ||
| 23 | Linear OA(534, 390635, F5, 6) (dual of [390635, 390601, 7]-code) | [i] | ||
| 24 | Linear OA(530, 635, F5, 9) (dual of [635, 605, 10]-code) | [i] | ||
| 25 | Linear OA(526, 635, F5, 8) (dual of [635, 609, 9]-code) | [i] | ||