Information on Result #603423
Linear OA(253, 3, F25, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,25) or 3-cap in PG(2,25)), using complete OA / dual of code with only one code word
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(25108, 15652, F25, 29) (dual of [15652, 15544, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(25108, 15652, F25, 29) (dual of [15652, 15544, 30]-code) | [i] | ||
| 3 | Linear OA(25108, 15652, F25, 29) (dual of [15652, 15544, 30]-code) | [i] | ||
| 4 | Linear OA(25108, 15652, F25, 29) (dual of [15652, 15544, 30]-code) | [i] | ||
| 5 | Linear OA(25108, 15652, F25, 29) (dual of [15652, 15544, 30]-code) | [i] | ||
| 6 | Linear OA(25108, 15652, F25, 29) (dual of [15652, 15544, 30]-code) | [i] | ||
| 7 | Linear OA(25108, 15652, F25, 29) (dual of [15652, 15544, 30]-code) | [i] | ||
| 8 | Linear OA(25108, 15652, F25, 29) (dual of [15652, 15544, 30]-code) | [i] | ||
| 9 | Linear OA(2596, 15649, F25, 26) (dual of [15649, 15553, 27]-code) | [i] | ||
| 10 | Linear OA(2596, 15649, F25, 26) (dual of [15649, 15553, 27]-code) | [i] | ||
| 11 | Linear OA(2596, 15649, F25, 26) (dual of [15649, 15553, 27]-code) | [i] | ||
| 12 | Linear OA(2596, 15649, F25, 26) (dual of [15649, 15553, 27]-code) | [i] | ||
| 13 | Linear OA(2596, 15649, F25, 26) (dual of [15649, 15553, 27]-code) | [i] | ||
| 14 | Linear OA(2596, 15649, F25, 26) (dual of [15649, 15553, 27]-code) | [i] | ||
| 15 | Linear OA(2596, 15649, F25, 26) (dual of [15649, 15553, 27]-code) | [i] | ||
| 16 | Linear OA(2584, 15646, F25, 22) (dual of [15646, 15562, 23]-code) | [i] | ||
| 17 | Linear OA(2584, 15646, F25, 22) (dual of [15646, 15562, 23]-code) | [i] | ||
| 18 | Linear OA(2584, 15646, F25, 22) (dual of [15646, 15562, 23]-code) | [i] | ||
| 19 | Linear OA(2584, 15646, F25, 22) (dual of [15646, 15562, 23]-code) | [i] | ||
| 20 | Linear OA(2584, 15646, F25, 22) (dual of [15646, 15562, 23]-code) | [i] | ||
| 21 | Linear OA(2584, 15646, F25, 22) (dual of [15646, 15562, 23]-code) | [i] | ||
| 22 | Linear OA(25105, 390646, F25, 22) (dual of [390646, 390541, 23]-code) | [i] | ||
| 23 | Linear OA(25105, 390646, F25, 22) (dual of [390646, 390541, 23]-code) | [i] | ||
| 24 | Linear OA(25105, 390646, F25, 22) (dual of [390646, 390541, 23]-code) | [i] | ||
| 25 | Linear OA(25105, 390646, F25, 22) (dual of [390646, 390541, 23]-code) | [i] | ||
| 26 | Linear OA(25105, 390646, F25, 22) (dual of [390646, 390541, 23]-code) | [i] | ||
| 27 | Linear OA(25105, 390646, F25, 22) (dual of [390646, 390541, 23]-code) | [i] | ||
| 28 | Linear OA(2556, 643, F25, 20) (dual of [643, 587, 21]-code) | [i] | ||
| 29 | Linear OA(2556, 643, F25, 20) (dual of [643, 587, 21]-code) | [i] | ||
| 30 | Linear OA(2556, 643, F25, 20) (dual of [643, 587, 21]-code) | [i] | ||
| 31 | Linear OA(2556, 643, F25, 20) (dual of [643, 587, 21]-code) | [i] | ||
| 32 | Linear OA(2556, 643, F25, 20) (dual of [643, 587, 21]-code) | [i] | ||
| 33 | Linear OA(2575, 15643, F25, 20) (dual of [15643, 15568, 21]-code) | [i] | ||
| 34 | Linear OA(2575, 15643, F25, 20) (dual of [15643, 15568, 21]-code) | [i] | ||
| 35 | Linear OA(2575, 15643, F25, 20) (dual of [15643, 15568, 21]-code) | [i] | ||
| 36 | Linear OA(2575, 15643, F25, 20) (dual of [15643, 15568, 21]-code) | [i] | ||
| 37 | Linear OA(2575, 15643, F25, 20) (dual of [15643, 15568, 21]-code) | [i] | ||
| 38 | Linear OA(2594, 390643, F25, 20) (dual of [390643, 390549, 21]-code) | [i] | ||
| 39 | Linear OA(2594, 390643, F25, 20) (dual of [390643, 390549, 21]-code) | [i] | ||
| 40 | Linear OA(2594, 390643, F25, 20) (dual of [390643, 390549, 21]-code) | [i] | ||
| 41 | Linear OA(2594, 390643, F25, 20) (dual of [390643, 390549, 21]-code) | [i] | ||
| 42 | Linear OA(2594, 390643, F25, 20) (dual of [390643, 390549, 21]-code) | [i] | ||
| 43 | Linear OA(2560, 15640, F25, 16) (dual of [15640, 15580, 17]-code) | [i] | ||
| 44 | Linear OA(2560, 15640, F25, 16) (dual of [15640, 15580, 17]-code) | [i] | ||
| 45 | Linear OA(2560, 15640, F25, 16) (dual of [15640, 15580, 17]-code) | [i] | ||
| 46 | Linear OA(2560, 15640, F25, 16) (dual of [15640, 15580, 17]-code) | [i] | ||
| 47 | Linear OA(2575, 390640, F25, 16) (dual of [390640, 390565, 17]-code) | [i] | ||
| 48 | Linear OA(2575, 390640, F25, 16) (dual of [390640, 390565, 17]-code) | [i] | ||
| 49 | Linear OA(2575, 390640, F25, 16) (dual of [390640, 390565, 17]-code) | [i] | ||
| 50 | Linear OA(2575, 390640, F25, 16) (dual of [390640, 390565, 17]-code) | [i] | ||
| 51 | Linear OA(2538, 637, F25, 14) (dual of [637, 599, 15]-code) | [i] | ||
| 52 | Linear OA(2538, 637, F25, 14) (dual of [637, 599, 15]-code) | [i] | ||
| 53 | Linear OA(2538, 637, F25, 14) (dual of [637, 599, 15]-code) | [i] | ||
| 54 | Linear OA(2551, 15637, F25, 14) (dual of [15637, 15586, 15]-code) | [i] | ||
| 55 | Linear OA(2551, 15637, F25, 14) (dual of [15637, 15586, 15]-code) | [i] | ||
| 56 | Linear OA(2551, 15637, F25, 14) (dual of [15637, 15586, 15]-code) | [i] | ||
| 57 | Linear OA(2564, 390637, F25, 14) (dual of [390637, 390573, 15]-code) | [i] | ||
| 58 | Linear OA(2564, 390637, F25, 14) (dual of [390637, 390573, 15]-code) | [i] | ||
| 59 | Linear OA(2564, 390637, F25, 14) (dual of [390637, 390573, 15]-code) | [i] | ||
| 60 | Linear OA(2536, 15634, F25, 10) (dual of [15634, 15598, 11]-code) | [i] | ||
| 61 | Linear OA(2536, 15634, F25, 10) (dual of [15634, 15598, 11]-code) | [i] | ||
| 62 | Linear OA(2545, 390634, F25, 10) (dual of [390634, 390589, 11]-code) | [i] | ||
| 63 | Linear OA(2545, 390634, F25, 10) (dual of [390634, 390589, 11]-code) | [i] | ||
| 64 | Linear OA(2527, 15631, F25, 8) (dual of [15631, 15604, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 65 | Linear OA(2534, 390631, F25, 8) (dual of [390631, 390597, 9]-code) | [i] | ||