Information on Result #606385
Linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using Reed–Solomon code RS(13,25)
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(2578, 83, F25, 70) (dual of [83, 5, 71]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(2578, 82, F25, 71) (dual of [82, 4, 72]-code) | [i] | ||
| 3 | Linear OA(549, 75, F5, 25) (dual of [75, 26, 26]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(548, 72, F5, 25) (dual of [72, 24, 26]-code) | [i] | ||
| 5 | Linear OA(547, 69, F5, 25) (dual of [69, 22, 26]-code) | [i] | ||
| 6 | Linear OA(546, 66, F5, 25) (dual of [66, 20, 26]-code) | [i] | ||
| 7 | Linear OA(545, 63, F5, 25) (dual of [63, 18, 26]-code) | [i] | ||
| 8 | Linear OA(544, 60, F5, 25) (dual of [60, 16, 26]-code) | [i] | ||
| 9 | Linear OA(542, 54, F5, 25) (dual of [54, 12, 26]-code) | [i] | ||
| 10 | Linear OA(572, 96, F5, 38) (dual of [96, 24, 39]-code) | [i] | ||
| 11 | Linear OA(570, 92, F5, 38) (dual of [92, 22, 39]-code) | [i] | ||
| 12 | Linear OA(568, 88, F5, 38) (dual of [88, 20, 39]-code) | [i] | ||
| 13 | Linear OA(566, 84, F5, 38) (dual of [84, 18, 39]-code) | [i] | ||
| 14 | Linear OA(564, 80, F5, 38) (dual of [80, 16, 39]-code) | [i] | ||
| 15 | Linear OA(562, 76, F5, 38) (dual of [76, 14, 39]-code) | [i] | ||
| 16 | Linear OA(560, 72, F5, 38) (dual of [72, 12, 39]-code) | [i] | ||
| 17 | Linear OA(558, 68, F5, 38) (dual of [68, 10, 39]-code) | [i] | ||
| 18 | Linear OA(556, 64, F5, 38) (dual of [64, 8, 39]-code) | [i] | ||
| 19 | Linear OA(554, 60, F5, 38) (dual of [60, 6, 39]-code) | [i] | ||
| 20 | Linear OA(575, 85, F5, 51) (dual of [85, 10, 52]-code) | [i] | ||
| 21 | Linear OA(572, 80, F5, 51) (dual of [80, 8, 52]-code) | [i] | ||
| 22 | Linear OA(569, 75, F5, 51) (dual of [75, 6, 52]-code) | [i] | ||
| 23 | Linear OA(584, 90, F5, 64) (dual of [90, 6, 65]-code) | [i] | ||
| 24 | Linear OA(580, 84, F5, 64) (dual of [84, 4, 65]-code) | [i] | ||
| 25 | Linear OOA(5108, 56, F5, 2, 90) (dual of [(56, 2), 4, 91]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 26 | Linear OOA(5136, 70, F5, 2, 116) (dual of [(70, 2), 4, 117]-NRT-code) | [i] | ||
| 27 | Linear OA(2515, 28, F25, 14) (dual of [28, 13, 15]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 28 | Linear OA(2513, 28, F25, 12) (dual of [28, 15, 13]-code) | [i] | ✔ | |
| 29 | Linear OA(2517, 30, F25, 15) (dual of [30, 13, 16]-code) | [i] | ✔ | |
| 30 | Linear OA(2514, 30, F25, 12) (dual of [30, 16, 13]-code) | [i] | ✔ | |
| 31 | Linear OA(25110, 224, F25, 73) (dual of [224, 114, 74]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 32 | Linear OA(25109, 224, F25, 72) (dual of [224, 115, 73]-code) | [i] | ||
| 33 | Linear OA(25108, 224, F25, 71) (dual of [224, 116, 72]-code) | [i] | ||
| 34 | Linear OA(25107, 224, F25, 70) (dual of [224, 117, 71]-code) | [i] | ||
| 35 | Linear OA(25106, 224, F25, 69) (dual of [224, 118, 70]-code) | [i] | ||
| 36 | Linear OA(25105, 224, F25, 68) (dual of [224, 119, 69]-code) | [i] | ||
| 37 | Linear OA(25104, 224, F25, 67) (dual of [224, 120, 68]-code) | [i] | ||
| 38 | Linear OA(25103, 224, F25, 66) (dual of [224, 121, 67]-code) | [i] | ||
| 39 | Linear OA(25102, 224, F25, 65) (dual of [224, 122, 66]-code) | [i] | ||
| 40 | Linear OA(25101, 224, F25, 64) (dual of [224, 123, 65]-code) | [i] | ||
| 41 | Linear OA(25100, 224, F25, 63) (dual of [224, 124, 64]-code) | [i] | ||
| 42 | Linear OA(2599, 224, F25, 62) (dual of [224, 125, 63]-code) | [i] | ||
| 43 | Linear OA(2598, 224, F25, 61) (dual of [224, 126, 62]-code) | [i] | ||
| 44 | Linear OA(2597, 224, F25, 60) (dual of [224, 127, 61]-code) | [i] | ||
| 45 | Linear OA(2596, 224, F25, 59) (dual of [224, 128, 60]-code) | [i] | ||
| 46 | Linear OA(2595, 224, F25, 58) (dual of [224, 129, 59]-code) | [i] | ||
| 47 | Linear OA(2594, 224, F25, 57) (dual of [224, 130, 58]-code) | [i] | ||
| 48 | Linear OA(2593, 224, F25, 56) (dual of [224, 131, 57]-code) | [i] | ||
| 49 | Linear OA(2592, 224, F25, 55) (dual of [224, 132, 56]-code) | [i] | ||
| 50 | Linear OA(2591, 224, F25, 54) (dual of [224, 133, 55]-code) | [i] | ||
| 51 | Linear OA(2590, 224, F25, 53) (dual of [224, 134, 54]-code) | [i] | ||
| 52 | Linear OA(2589, 224, F25, 52) (dual of [224, 135, 53]-code) | [i] | ||
| 53 | Linear OA(2588, 224, F25, 51) (dual of [224, 136, 52]-code) | [i] | ||
| 54 | Linear OA(2587, 224, F25, 50) (dual of [224, 137, 51]-code) | [i] | ||
| 55 | Linear OA(2586, 224, F25, 49) (dual of [224, 138, 50]-code) | [i] | ||
| 56 | Linear OA(2585, 224, F25, 48) (dual of [224, 139, 49]-code) | [i] | ||
| 57 | Linear OA(2584, 224, F25, 47) (dual of [224, 140, 48]-code) | [i] | ||
| 58 | Linear OA(2583, 224, F25, 46) (dual of [224, 141, 47]-code) | [i] | ||
| 59 | Linear OA(2598, 653, F25, 38) (dual of [653, 555, 39]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 60 | Linear OA(2599, 655, F25, 38) (dual of [655, 556, 39]-code) | [i] | ||
| 61 | Linear OA(25100, 657, F25, 38) (dual of [657, 557, 39]-code) | [i] | ||
| 62 | Linear OA(25101, 659, F25, 38) (dual of [659, 558, 39]-code) | [i] | ||
| 63 | Linear OA(25102, 661, F25, 38) (dual of [661, 559, 39]-code) | [i] | ||
| 64 | Linear OA(2596, 653, F25, 37) (dual of [653, 557, 38]-code) | [i] | ||
| 65 | Linear OA(2597, 655, F25, 37) (dual of [655, 558, 38]-code) | [i] | ||
| 66 | Linear OA(2598, 657, F25, 37) (dual of [657, 559, 38]-code) | [i] | ||
| 67 | Linear OA(2599, 659, F25, 37) (dual of [659, 560, 38]-code) | [i] | ||
| 68 | Linear OA(2594, 653, F25, 36) (dual of [653, 559, 37]-code) | [i] | ||
| 69 | Linear OA(2595, 655, F25, 36) (dual of [655, 560, 37]-code) | [i] | ||
| 70 | Linear OA(2596, 657, F25, 36) (dual of [657, 561, 37]-code) | [i] | ||
| 71 | Linear OA(2597, 659, F25, 36) (dual of [659, 562, 37]-code) | [i] | ||