Information on Result #603427
Linear OA(257, 7, F25, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,25)), using complete OA / dual of code with only one code word
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(2591, 653, F25, 34) (dual of [653, 562, 35]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(2591, 653, F25, 34) (dual of [653, 562, 35]-code) | [i] | ||
| 3 | Linear OA(2591, 653, F25, 34) (dual of [653, 562, 35]-code) | [i] | ||
| 4 | Linear OA(25108, 15653, F25, 29) (dual of [15653, 15545, 30]-code) | [i] | ||
| 5 | Linear OA(25108, 15653, F25, 29) (dual of [15653, 15545, 30]-code) | [i] | ||
| 6 | Linear OA(25108, 15653, F25, 29) (dual of [15653, 15545, 30]-code) | [i] | ||
| 7 | Linear OA(2570, 646, F25, 27) (dual of [646, 576, 28]-code) | [i] | ||
| 8 | Linear OA(2570, 646, F25, 27) (dual of [646, 576, 28]-code) | [i] | ||
| 9 | Linear OA(2596, 15646, F25, 27) (dual of [15646, 15550, 28]-code) | [i] | ||
| 10 | Linear OA(2596, 15646, F25, 27) (dual of [15646, 15550, 28]-code) | [i] | ||
| 11 | Linear OA(2569, 646, F25, 26) (dual of [646, 577, 27]-code) | [i] | ||
| 12 | Linear OA(2569, 646, F25, 26) (dual of [646, 577, 27]-code) | [i] | ||
| 13 | Linear OA(2593, 15646, F25, 26) (dual of [15646, 15553, 27]-code) | [i] | ||
| 14 | Linear OA(2593, 15646, F25, 26) (dual of [15646, 15553, 27]-code) | [i] | ||
| 15 | Linear OA(2564, 647, F25, 23) (dual of [647, 583, 24]-code) | [i] | ||
| 16 | Linear OA(2564, 647, F25, 23) (dual of [647, 583, 24]-code) | [i] | ||
| 17 | Linear OA(2586, 15647, F25, 23) (dual of [15647, 15561, 24]-code) | [i] | ||
| 18 | Linear OA(2586, 15647, F25, 23) (dual of [15647, 15561, 24]-code) | [i] | ||
| 19 | Linear OA(25108, 390647, F25, 23) (dual of [390647, 390539, 24]-code) | [i] | ||
| 20 | Linear OA(25108, 390647, F25, 23) (dual of [390647, 390539, 24]-code) | [i] | ||
| 21 | Linear OA(2562, 646, F25, 22) (dual of [646, 584, 23]-code) | [i] | ||
| 22 | Linear OA(2562, 646, F25, 22) (dual of [646, 584, 23]-code) | [i] | ||
| 23 | Linear OA(2583, 15646, F25, 22) (dual of [15646, 15563, 23]-code) | [i] | ||
| 24 | Linear OA(2583, 15646, F25, 22) (dual of [15646, 15563, 23]-code) | [i] | ||
| 25 | Linear OA(25104, 390646, F25, 22) (dual of [390646, 390542, 23]-code) | [i] | ||
| 26 | Linear OA(25104, 390646, F25, 22) (dual of [390646, 390542, 23]-code) | [i] | ||
| 27 | Linear OA(2580, 15647, F25, 21) (dual of [15647, 15567, 22]-code) | [i] | ||
| 28 | Linear OA(2580, 15647, F25, 21) (dual of [15647, 15567, 22]-code) | [i] | ||
| 29 | Linear OA(25100, 390647, F25, 21) (dual of [390647, 390547, 22]-code) | [i] | ||
| 30 | Linear OA(25100, 390647, F25, 21) (dual of [390647, 390547, 22]-code) | [i] | ||
| 31 | Linear OA(2576, 15646, F25, 20) (dual of [15646, 15570, 21]-code) | [i] | ||
| 32 | Linear OA(2595, 390646, F25, 20) (dual of [390646, 390551, 21]-code) | [i] | ||
| 33 | Linear OA(2572, 15647, F25, 19) (dual of [15647, 15575, 20]-code) | [i] | ||
| 34 | Linear OA(2590, 390647, F25, 19) (dual of [390647, 390557, 20]-code) | [i] | ||
| 35 | Linear OA(2552, 639, F25, 20) (dual of [639, 587, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 36 | Linear OA(2571, 15639, F25, 20) (dual of [15639, 15568, 21]-code) | [i] | ||
| 37 | Linear OA(2590, 390639, F25, 20) (dual of [390639, 390549, 21]-code) | [i] | ||
| 38 | Linear OA(2548, 639, F25, 18) (dual of [639, 591, 19]-code) | [i] | ||
| 39 | Linear OA(2565, 15639, F25, 18) (dual of [15639, 15574, 19]-code) | [i] | ||
| 40 | Linear OA(2582, 390639, F25, 18) (dual of [390639, 390557, 19]-code) | [i] | ||
| 41 | Linear OA(2545, 640, F25, 17) (dual of [640, 595, 18]-code) | [i] | ||
| 42 | Linear OA(2561, 15640, F25, 17) (dual of [15640, 15579, 18]-code) | [i] | ||
| 43 | Linear OA(2577, 390640, F25, 17) (dual of [390640, 390563, 18]-code) | [i] | ||
| 44 | Linear OA(2543, 639, F25, 16) (dual of [639, 596, 17]-code) | [i] | ||
| 45 | Linear OA(2558, 15639, F25, 16) (dual of [15639, 15581, 17]-code) | [i] | ||
| 46 | Linear OA(2573, 390639, F25, 16) (dual of [390639, 390566, 17]-code) | [i] | ||