Information on Result #616993
Linear OA(2579, 15625, F25, 28) (dual of [15625, 15546, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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(2593, 15651, F25, 28) (dual of [15651, 15558, 29]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2594, 15654, F25, 28) (dual of [15654, 15560, 29]-code) | [i] | ||
| 3 | Linear OA(2595, 15656, F25, 28) (dual of [15656, 15561, 29]-code) | [i] | ||
| 4 | Linear OA(2596, 15677, F25, 28) (dual of [15677, 15581, 29]-code) | [i] | ||
| 5 | Linear OA(2597, 15691, F25, 28) (dual of [15691, 15594, 29]-code) | [i] | ||
| 6 | Linear OA(2598, 15693, F25, 28) (dual of [15693, 15595, 29]-code) | [i] | ||
| 7 | Linear OA(2599, 15695, F25, 28) (dual of [15695, 15596, 29]-code) | [i] | ||
| 8 | Linear OA(25100, 15697, F25, 28) (dual of [15697, 15597, 29]-code) | [i] | ||
| 9 | Linear OA(25101, 15699, F25, 28) (dual of [15699, 15598, 29]-code) | [i] | ||
| 10 | Linear OA(25102, 15729, F25, 28) (dual of [15729, 15627, 29]-code) | [i] | ||
| 11 | Linear OA(25103, 15751, F25, 28) (dual of [15751, 15648, 29]-code) | [i] | ||
| 12 | Linear OA(25104, 15781, F25, 28) (dual of [15781, 15677, 29]-code) | [i] | ||
| 13 | Linear OA(25103, 15650, F25, 28) (dual of [15650, 15547, 29]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(25102, 15649, F25, 28) (dual of [15649, 15547, 29]-code) | [i] | ||
| 15 | Linear OA(25104, 15652, F25, 28) (dual of [15652, 15548, 29]-code) | [i] | ||
| 16 | Linear OA(2598, 15645, F25, 28) (dual of [15645, 15547, 29]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(2599, 15647, F25, 28) (dual of [15647, 15548, 29]-code) | [i] | ||
| 18 | Linear OA(25100, 15649, F25, 28) (dual of [15649, 15549, 29]-code) | [i] | ||
| 19 | Linear OA(25101, 15651, F25, 28) (dual of [15651, 15550, 29]-code) | [i] | ||
| 20 | Linear OA(25102, 15677, F25, 28) (dual of [15677, 15575, 29]-code) | [i] | ||
| 21 | Linear OA(25103, 15680, F25, 28) (dual of [15680, 15577, 29]-code) | [i] | ||
| 22 | Linear OA(25104, 15683, F25, 28) (dual of [15683, 15579, 29]-code) | [i] | ||
| 23 | Linear OA(2582, 15628, F25, 29) (dual of [15628, 15546, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 24 | Linear OA(2579, 15628, F25, 28) (dual of [15628, 15549, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(2586, 15632, F25, 30) (dual of [15632, 15546, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(2580, 15632, F25, 28) (dual of [15632, 15552, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(2590, 15636, F25, 31) (dual of [15636, 15546, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(2582, 15637, F25, 28) (dual of [15637, 15555, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(2594, 15640, F25, 32) (dual of [15640, 15546, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(2583, 15641, F25, 28) (dual of [15641, 15558, 29]-code) | [i] | ✔ | |
| 31 | Linear OA(2598, 15644, F25, 33) (dual of [15644, 15546, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(2584, 15645, F25, 28) (dual of [15645, 15561, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(25102, 15648, F25, 34) (dual of [15648, 15546, 35]-code) | [i] | ✔ | |
| 34 | Linear OA(2585, 15649, F25, 28) (dual of [15649, 15564, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(25106, 15651, F25, 35) (dual of [15651, 15545, 36]-code) | [i] | ✔ | |
| 36 | Linear OA(25107, 15653, F25, 35) (dual of [15653, 15546, 36]-code) | [i] | ✔ | |
| 37 | Linear OA(2586, 15651, F25, 28) (dual of [15651, 15565, 29]-code) | [i] | ✔ | |
| 38 | Linear OA(2587, 15654, F25, 28) (dual of [15654, 15567, 29]-code) | [i] | ✔ | |
| 39 | Linear OA(2590, 15660, F25, 28) (dual of [15660, 15570, 29]-code) | [i] | ✔ | |
| 40 | Linear OA(2591, 15664, F25, 28) (dual of [15664, 15573, 29]-code) | [i] | ✔ | |
| 41 | Linear OA(2592, 15668, F25, 28) (dual of [15668, 15576, 29]-code) | [i] | ✔ | |
| 42 | Linear OA(2593, 15672, F25, 28) (dual of [15672, 15579, 29]-code) | [i] | ✔ | |
| 43 | Linear OA(2594, 15676, F25, 28) (dual of [15676, 15582, 29]-code) | [i] | ✔ | |
| 44 | Linear OA(2596, 15681, F25, 28) (dual of [15681, 15585, 29]-code) | [i] | ✔ | |
| 45 | Linear OA(25108, 15655, F25, 35) (dual of [15655, 15547, 36]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 46 | Linear OA(2589, 15657, F25, 28) (dual of [15657, 15568, 29]-code) | [i] | ✔ | |
| 47 | Linear OOA(2579, 1116, F25, 28, 28) (dual of [(1116, 28), 31169, 29]-NRT-code) | [i] | OA Folding and Stacking | |