Information on Result #604666
Linear OA(429, 30, F4, 29) (dual of [30, 1, 30]-code or 30-arc in PG(28,4)), using dual of repetition code with length 30
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(429, 30, F4, 28) (dual of [30, 1, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(429, 30, F4, 27) (dual of [30, 1, 28]-code) | [i] | ||
| 3 | Linear OA(429, 30, F4, 26) (dual of [30, 1, 27]-code) | [i] | ||
| 4 | Linear OA(429, 30, F4, 25) (dual of [30, 1, 26]-code) | [i] | ||
| 5 | Linear OA(429, 30, F4, 24) (dual of [30, 1, 25]-code) | [i] | ||
| 6 | Linear OA(464, 104, F4, 29) (dual of [104, 40, 30]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(470, 135, F4, 29) (dual of [135, 65, 30]-code) | [i] | ||
| 8 | Linear OA(487, 294, F4, 29) (dual of [294, 207, 30]-code) | [i] | ||
| 9 | Linear OA(489, 323, F4, 29) (dual of [323, 234, 30]-code) | [i] | ||
| 10 | Linear OA(497, 473, F4, 29) (dual of [473, 376, 30]-code) | [i] | ||
| 11 | Linear OA(4105, 696, F4, 29) (dual of [696, 591, 30]-code) | [i] | ||
| 12 | Linear OA(4118, 1312, F4, 29) (dual of [1312, 1194, 30]-code) | [i] | ||
| 13 | Linear OA(4122, 1596, F4, 29) (dual of [1596, 1474, 30]-code) | [i] | ||
| 14 | Linear OA(4142, 4272, F4, 29) (dual of [4272, 4130, 30]-code) | [i] | ||
| 15 | Linear OA(4145, 4954, F4, 29) (dual of [4954, 4809, 30]-code) | [i] | ||
| 16 | Linear OA(4156, 16415, F4, 27) (dual of [16415, 16259, 28]-code) | [i] | Construction X4 with Cyclic Codes | |