Information on Result #606387
Linear OA(2514, 25, F25, 14) (dual of [25, 11, 15]-code or 25-arc in PG(13,25)), using Reed–Solomon code RS(11,25)
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(2566, 72, F25, 58) (dual of [72, 6, 59]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(2566, 71, F25, 59) (dual of [71, 5, 60]-code) | [i] | ||
| 3 | Linear OA(2580, 85, F25, 72) (dual of [85, 5, 73]-code) | [i] | ||
| 4 | Linear OA(2580, 84, F25, 73) (dual of [84, 4, 74]-code) | [i] | ||
| 5 | Linear OA(553, 75, F5, 29) (dual of [75, 22, 30]-code) | [i] | Concatenation of Two Codes | |
| 6 | Linear OA(552, 72, F5, 29) (dual of [72, 20, 30]-code) | [i] | ||
| 7 | Linear OA(551, 69, F5, 29) (dual of [69, 18, 30]-code) | [i] | ||
| 8 | Linear OA(550, 66, F5, 29) (dual of [66, 16, 30]-code) | [i] | ||
| 9 | Linear OA(546, 54, F5, 29) (dual of [54, 8, 30]-code) | [i] | ||
| 10 | Linear OA(578, 100, F5, 44) (dual of [100, 22, 45]-code) | [i] | ||
| 11 | Linear OA(576, 96, F5, 44) (dual of [96, 20, 45]-code) | [i] | ||
| 12 | Linear OA(574, 92, F5, 44) (dual of [92, 18, 45]-code) | [i] | ||
| 13 | Linear OA(572, 88, F5, 44) (dual of [88, 16, 45]-code) | [i] | ||
| 14 | Linear OA(570, 84, F5, 44) (dual of [84, 14, 45]-code) | [i] | ||
| 15 | Linear OA(568, 80, F5, 44) (dual of [80, 12, 45]-code) | [i] | ||
| 16 | Linear OA(566, 76, F5, 44) (dual of [76, 10, 45]-code) | [i] | ||
| 17 | Linear OA(564, 72, F5, 44) (dual of [72, 8, 45]-code) | [i] | ||
| 18 | Linear OA(562, 68, F5, 44) (dual of [68, 6, 45]-code) | [i] | ||
| 19 | Linear OA(594, 110, F5, 59) (dual of [110, 16, 60]-code) | [i] | ||
| 20 | Linear OA(585, 95, F5, 59) (dual of [95, 10, 60]-code) | [i] | ||
| 21 | Linear OA(582, 90, F5, 59) (dual of [90, 8, 60]-code) | [i] | ||
| 22 | Linear OA(579, 85, F5, 59) (dual of [85, 6, 60]-code) | [i] | ||
| 23 | Linear OA(5128, 150, F5, 74) (dual of [150, 22, 75]-code) | [i] | ||
| 24 | Linear OA(5124, 144, F5, 74) (dual of [144, 20, 75]-code) | [i] | ||
| 25 | Linear OA(5120, 138, F5, 74) (dual of [138, 18, 75]-code) | [i] | ||
| 26 | Linear OA(592, 96, F5, 74) (dual of [96, 4, 75]-code) | [i] | ||
| 27 | Linear OOA(5130, 68, F5, 2, 104) (dual of [(68, 2), 6, 105]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 28 | Linear OOA(5124, 64, F5, 2, 104) (dual of [(64, 2), 4, 105]-NRT-code) | [i] | ||
| 29 | Linear OA(2517, 28, F25, 16) (dual of [28, 11, 17]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 30 | Linear OA(2515, 28, F25, 14) (dual of [28, 13, 15]-code) | [i] | ✔ | |
| 31 | Linear OA(2519, 30, F25, 17) (dual of [30, 11, 18]-code) | [i] | ✔ | |
| 32 | Linear OA(2516, 30, F25, 14) (dual of [30, 14, 15]-code) | [i] | ✔ | |
| 33 | Linear OA(25110, 657, F25, 42) (dual of [657, 547, 43]-code) | [i] | (u, u−v, u+v+w)-Construction | |