Information on Result #606388
Linear OA(2515, 25, F25, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using Reed–Solomon code RS(10,25)
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(2567, 73, F25, 59) (dual of [73, 6, 60]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(2567, 72, F25, 60) (dual of [72, 5, 61]-code) | [i] | ||
| 3 | Linear OA(2581, 86, F25, 73) (dual of [86, 5, 74]-code) | [i] | ||
| 4 | Linear OA(2581, 85, F25, 74) (dual of [85, 4, 75]-code) | [i] | ||
| 5 | Linear OA(555, 75, F5, 31) (dual of [75, 20, 32]-code) | [i] | Concatenation of Two Codes | |
| 6 | Linear OA(554, 72, F5, 31) (dual of [72, 18, 32]-code) | [i] | ||
| 7 | Linear OA(553, 69, F5, 31) (dual of [69, 16, 32]-code) | [i] | ||
| 8 | Linear OA(580, 100, F5, 47) (dual of [100, 20, 48]-code) | [i] | ||
| 9 | Linear OA(578, 96, F5, 47) (dual of [96, 18, 48]-code) | [i] | ||
| 10 | Linear OA(576, 92, F5, 47) (dual of [92, 16, 48]-code) | [i] | ||
| 11 | Linear OA(574, 88, F5, 47) (dual of [88, 14, 48]-code) | [i] | ||
| 12 | Linear OA(572, 84, F5, 47) (dual of [84, 12, 48]-code) | [i] | ||
| 13 | Linear OA(570, 80, F5, 47) (dual of [80, 10, 48]-code) | [i] | ||
| 14 | Linear OA(568, 76, F5, 47) (dual of [76, 8, 48]-code) | [i] | ||
| 15 | Linear OA(566, 72, F5, 47) (dual of [72, 6, 48]-code) | [i] | ||
| 16 | Linear OA(596, 110, F5, 63) (dual of [110, 14, 64]-code) | [i] | ||
| 17 | Linear OA(593, 105, F5, 63) (dual of [105, 12, 64]-code) | [i] | ||
| 18 | Linear OA(590, 100, F5, 63) (dual of [100, 10, 64]-code) | [i] | ||
| 19 | Linear OA(581, 85, F5, 63) (dual of [85, 4, 64]-code) | [i] | ||
| 20 | Linear OA(5130, 150, F5, 79) (dual of [150, 20, 80]-code) | [i] | ||
| 21 | Linear OA(5126, 144, F5, 79) (dual of [144, 18, 80]-code) | [i] | ||
| 22 | Linear OA(5122, 138, F5, 79) (dual of [138, 16, 80]-code) | [i] | ||
| 23 | Linear OA(5102, 108, F5, 79) (dual of [108, 6, 80]-code) | [i] | ||
| 24 | Linear OA(598, 102, F5, 79) (dual of [102, 4, 80]-code) | [i] | ||
| 25 | Linear OOA(5150, 80, F5, 2, 111) (dual of [(80, 2), 10, 112]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 26 | Linear OOA(5144, 76, F5, 2, 111) (dual of [(76, 2), 8, 112]-NRT-code) | [i] | ||
| 27 | Linear OOA(5138, 72, F5, 2, 111) (dual of [(72, 2), 6, 112]-NRT-code) | [i] | ||
| 28 | Linear OOA(5132, 68, F5, 2, 111) (dual of [(68, 2), 4, 112]-NRT-code) | [i] | ||
| 29 | Linear OA(2518, 28, F25, 17) (dual of [28, 10, 18]-code) | [i] | ✔ | Construction X with Reed–Solomon Codes |
| 30 | Linear OA(2516, 28, F25, 15) (dual of [28, 12, 16]-code) | [i] | ✔ | |
| 31 | Linear OA(2520, 30, F25, 18) (dual of [30, 10, 19]-code) | [i] | ✔ | |
| 32 | Linear OA(2517, 30, F25, 15) (dual of [30, 13, 16]-code) | [i] | ✔ | |