Information on Result #604905
Linear OA(57, 8, F5, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,5)), using dual of repetition code with length 8
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(552, 633, F5, 14) (dual of [633, 581, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(563, 3133, F5, 14) (dual of [3133, 3070, 15]-code) | [i] | ||
| 3 | Linear OA(574, 15633, F5, 14) (dual of [15633, 15559, 15]-code) | [i] | ||
| 4 | Linear OA(585, 78133, F5, 14) (dual of [78133, 78048, 15]-code) | [i] | ||
| 5 | Linear OA(596, 390633, F5, 14) (dual of [390633, 390537, 15]-code) | [i] | ||
| 6 | Linear OA(5107, 1953133, F5, 14) (dual of [1953133, 1953026, 15]-code) | [i] | ||
| 7 | Linear OA(524, 34, F5, 14) (dual of [34, 10, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(525, 36, F5, 14) (dual of [36, 11, 15]-code) | [i] | ||
| 9 | Linear OA(584, 641, F5, 22) (dual of [641, 557, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(5101, 3141, F5, 22) (dual of [3141, 3040, 23]-code) | [i] | ||
| 11 | Linear OA(5118, 15641, F5, 22) (dual of [15641, 15523, 23]-code) | [i] | ||
| 12 | Linear OA(5135, 78141, F5, 22) (dual of [78141, 78006, 23]-code) | [i] | ||
| 13 | Linear OA(556, 634, F5, 15) (dual of [634, 578, 16]-code) | [i] | Construction X with Cyclic Codes | |
| 14 | Linear OA(568, 3134, F5, 15) (dual of [3134, 3066, 16]-code) | [i] | ||
| 15 | Linear OA(580, 15634, F5, 15) (dual of [15634, 15554, 16]-code) | [i] | ||
| 16 | Linear OA(592, 78134, F5, 15) (dual of [78134, 78042, 16]-code) | [i] | ||
| 17 | Linear OA(5104, 390634, F5, 15) (dual of [390634, 390530, 16]-code) | [i] | ||
| 18 | Linear OA(5116, 1953134, F5, 15) (dual of [1953134, 1953018, 16]-code) | [i] | ||
| 19 | Linear OA(5148, 164, F5, 93) (dual of [164, 16, 94]-code) | [i] | ||
| 20 | Linear OA(527, 3132, F5, 7) (dual of [3132, 3105, 8]-code) | [i] | Construction X4 with Cyclic Codes | |
| 21 | Linear OA(526, 15633, F5, 6) (dual of [15633, 15607, 7]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 22 | Linear OA(5106, 134, F5, 62) (dual of [134, 28, 63]-code) | [i] | Construction X with Varšamov Bound | |
| 23 | Linear OA(5107, 135, F5, 63) (dual of [135, 28, 64]-code) | [i] | ||
| 24 | Linear OA(5113, 134, F5, 70) (dual of [134, 21, 71]-code) | [i] | ||
| 25 | Linear OA(5116, 137, F5, 72) (dual of [137, 21, 73]-code) | [i] | ||