Information on Result #606386
Linear OA(2513, 25, F25, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using Reed–Solomon code RS(12,25)
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(2565, 71, F25, 57) (dual of [71, 6, 58]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(2565, 70, F25, 58) (dual of [70, 5, 59]-code) | [i] | ||
| 3 | Linear OA(2579, 84, F25, 71) (dual of [84, 5, 72]-code) | [i] | ||
| 4 | Linear OA(2579, 83, F25, 72) (dual of [83, 4, 73]-code) | [i] | ||
| 5 | Linear OA(551, 75, F5, 27) (dual of [75, 24, 28]-code) | [i] | Concatenation of Two Codes | |
| 6 | Linear OA(550, 72, F5, 27) (dual of [72, 22, 28]-code) | [i] | ||
| 7 | Linear OA(549, 69, F5, 27) (dual of [69, 20, 28]-code) | [i] | ||
| 8 | Linear OA(548, 66, F5, 27) (dual of [66, 18, 28]-code) | [i] | ||
| 9 | Linear OA(547, 63, F5, 27) (dual of [63, 16, 28]-code) | [i] | ||
| 10 | Linear OA(576, 100, F5, 41) (dual of [100, 24, 42]-code) | [i] | ||
| 11 | Linear OA(574, 96, F5, 41) (dual of [96, 22, 42]-code) | [i] | ||
| 12 | Linear OA(572, 92, F5, 41) (dual of [92, 20, 42]-code) | [i] | ||
| 13 | Linear OA(570, 88, F5, 41) (dual of [88, 18, 42]-code) | [i] | ||
| 14 | Linear OA(568, 84, F5, 41) (dual of [84, 16, 42]-code) | [i] | ||
| 15 | Linear OA(566, 80, F5, 41) (dual of [80, 14, 42]-code) | [i] | ||
| 16 | Linear OA(564, 76, F5, 41) (dual of [76, 12, 42]-code) | [i] | ||
| 17 | Linear OA(562, 72, F5, 41) (dual of [72, 10, 42]-code) | [i] | ||
| 18 | Linear OA(560, 68, F5, 41) (dual of [68, 8, 42]-code) | [i] | ||
| 19 | Linear OA(558, 64, F5, 41) (dual of [64, 6, 42]-code) | [i] | ||
| 20 | Linear OA(580, 90, F5, 55) (dual of [90, 10, 56]-code) | [i] | ||
| 21 | Linear OA(577, 85, F5, 55) (dual of [85, 8, 56]-code) | [i] | ||
| 22 | Linear OA(574, 80, F5, 55) (dual of [80, 6, 56]-code) | [i] | ||
| 23 | Linear OA(5118, 138, F5, 69) (dual of [138, 20, 70]-code) | [i] | ||
| 24 | Linear OA(586, 90, F5, 69) (dual of [90, 4, 70]-code) | [i] | ||
| 25 | Linear OOA(5122, 64, F5, 2, 97) (dual of [(64, 2), 6, 98]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 26 | Linear OOA(5116, 60, F5, 2, 97) (dual of [(60, 2), 4, 98]-NRT-code) | [i] | ||
| 27 | Linear OOA(5146, 75, F5, 2, 125) (dual of [(75, 2), 4, 126]-NRT-code) | [i] | ||
| 28 | Linear OA(2516, 28, F25, 15) (dual of [28, 12, 16]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 29 | Linear OA(2514, 28, F25, 13) (dual of [28, 14, 14]-code) | [i] | ✔ | |
| 30 | Linear OA(2518, 30, F25, 16) (dual of [30, 12, 17]-code) | [i] | ✔ | |
| 31 | Linear OA(2515, 30, F25, 13) (dual of [30, 15, 14]-code) | [i] | ✔ | |
| 32 | Linear OA(25106, 655, F25, 41) (dual of [655, 549, 42]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 33 | Linear OA(25107, 657, F25, 41) (dual of [657, 550, 42]-code) | [i] | ||
| 34 | Linear OA(25108, 659, F25, 41) (dual of [659, 551, 42]-code) | [i] | ||
| 35 | Linear OA(25109, 661, F25, 41) (dual of [661, 552, 42]-code) | [i] | ||
| 36 | Linear OA(25110, 663, F25, 41) (dual of [663, 553, 42]-code) | [i] | ||
| 37 | Linear OA(25104, 655, F25, 40) (dual of [655, 551, 41]-code) | [i] | ||
| 38 | Linear OA(25105, 657, F25, 40) (dual of [657, 552, 41]-code) | [i] | ||
| 39 | Linear OA(25106, 659, F25, 40) (dual of [659, 553, 41]-code) | [i] | ||
| 40 | Linear OA(25107, 661, F25, 40) (dual of [661, 554, 41]-code) | [i] | ||
| 41 | Linear OA(25108, 663, F25, 40) (dual of [663, 555, 41]-code) | [i] | ||
| 42 | Linear OA(25102, 655, F25, 39) (dual of [655, 553, 40]-code) | [i] | ||
| 43 | Linear OA(25103, 657, F25, 39) (dual of [657, 554, 40]-code) | [i] | ||
| 44 | Linear OA(25104, 659, F25, 39) (dual of [659, 555, 40]-code) | [i] | ||
| 45 | Linear OA(25105, 661, F25, 39) (dual of [661, 556, 40]-code) | [i] | ||