Information on Result #604690
Linear OA(453, 54, F4, 53) (dual of [54, 1, 54]-code or 54-arc in PG(52,4)), using dual of repetition code with length 54
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(453, 54, F4, 52) (dual of [54, 1, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(453, 54, F4, 51) (dual of [54, 1, 52]-code) | [i] | ||
| 3 | Linear OA(453, 54, F4, 50) (dual of [54, 1, 51]-code) | [i] | ||
| 4 | Linear OA(453, 54, F4, 49) (dual of [54, 1, 50]-code) | [i] | ||
| 5 | Linear OA(453, 54, F4, 48) (dual of [54, 1, 49]-code) | [i] | ||
| 6 | Linear OA(453, 54, F4, 47) (dual of [54, 1, 48]-code) | [i] | ||
| 7 | Linear OA(453, 54, F4, 46) (dual of [54, 1, 47]-code) | [i] | ||
| 8 | Linear OA(453, 54, F4, 45) (dual of [54, 1, 46]-code) | [i] | ||
| 9 | Linear OA(453, 54, F4, 44) (dual of [54, 1, 45]-code) | [i] | ||
| 10 | Linear OA(4104, 135, F4, 53) (dual of [135, 31, 54]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(4105, 138, F4, 53) (dual of [138, 33, 54]-code) | [i] | ||
| 12 | Linear OA(4106, 141, F4, 53) (dual of [141, 35, 54]-code) | [i] | ||
| 13 | Linear OA(4107, 144, F4, 53) (dual of [144, 37, 54]-code) | [i] | ||
| 14 | Linear OA(4108, 147, F4, 53) (dual of [147, 39, 54]-code) | [i] | ||
| 15 | Linear OA(4111, 157, F4, 53) (dual of [157, 46, 54]-code) | [i] | ||
| 16 | Linear OA(4123, 206, F4, 53) (dual of [206, 83, 54]-code) | [i] | ||
| 17 | Linear OA(4146, 357, F4, 53) (dual of [357, 211, 54]-code) | [i] | ||
| 18 | Linear OA(4147, 366, F4, 53) (dual of [366, 219, 54]-code) | [i] | ||
| 19 | Linear OA(4171, 670, F4, 53) (dual of [670, 499, 54]-code) | [i] | ||
| 20 | Linear OA(4178, 802, F4, 53) (dual of [802, 624, 54]-code) | [i] | ||
| 21 | Linear OA(4179, 823, F4, 53) (dual of [823, 644, 54]-code) | [i] | ||
| 22 | Linear OA(4188, 1039, F4, 53) (dual of [1039, 851, 54]-code) | [i] | ||
| 23 | Linear OA(4192, 1153, F4, 53) (dual of [1153, 961, 54]-code) | [i] | ||
| 24 | Linear OA(4199, 1384, F4, 53) (dual of [1384, 1185, 54]-code) | [i] | ||
| 25 | Linear OA(4203, 1537, F4, 53) (dual of [1537, 1334, 54]-code) | [i] | ||
| 26 | Linear OA(4222, 2533, F4, 53) (dual of [2533, 2311, 54]-code) | [i] | ||
| 27 | Linear OA(4230, 3129, F4, 53) (dual of [3129, 2899, 54]-code) | [i] | ||
| 28 | Linear OA(4234, 3478, F4, 53) (dual of [3478, 3244, 54]-code) | [i] | ||