Information on Result #604904
Linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using dual of repetition code with length 7
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(543, 632, F5, 12) (dual of [632, 589, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(552, 3132, F5, 12) (dual of [3132, 3080, 13]-code) | [i] | ||
| 3 | Linear OA(561, 15632, F5, 12) (dual of [15632, 15571, 13]-code) | [i] | ||
| 4 | Linear OA(570, 78132, F5, 12) (dual of [78132, 78062, 13]-code) | [i] | ||
| 5 | Linear OA(579, 390632, F5, 12) (dual of [390632, 390553, 13]-code) | [i] | ||
| 6 | Linear OA(588, 1953132, F5, 12) (dual of [1953132, 1953044, 13]-code) | [i] | ||
| 7 | Linear OA(5147, 15646, F5, 27) (dual of [15646, 15499, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(589, 3139, F5, 19) (dual of [3139, 3050, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(5104, 15639, F5, 19) (dual of [15639, 15535, 20]-code) | [i] | ||
| 10 | Linear OA(5119, 78139, F5, 19) (dual of [78139, 78020, 20]-code) | [i] | ||
| 11 | Linear OA(5134, 390639, F5, 19) (dual of [390639, 390505, 20]-code) | [i] | ||
| 12 | Linear OA(5149, 1953139, F5, 19) (dual of [1953139, 1952990, 20]-code) | [i] | ||
| 13 | Linear OA(598, 15639, F5, 18) (dual of [15639, 15541, 19]-code) | [i] | ||
| 14 | Linear OA(5112, 78139, F5, 18) (dual of [78139, 78027, 19]-code) | [i] | ||
| 15 | Linear OA(5126, 390639, F5, 18) (dual of [390639, 390513, 19]-code) | [i] | ||
| 16 | Linear OA(5140, 1953139, F5, 18) (dual of [1953139, 1952999, 19]-code) | [i] | ||
| 17 | Linear OA(537, 133, F5, 13) (dual of [133, 96, 14]-code) | [i] | Construction X with Cyclic Codes | |
| 18 | Linear OA(557, 3133, F5, 13) (dual of [3133, 3076, 14]-code) | [i] | ||
| 19 | Linear OA(567, 15633, F5, 13) (dual of [15633, 15566, 14]-code) | [i] | ||
| 20 | Linear OA(577, 78133, F5, 13) (dual of [78133, 78056, 14]-code) | [i] | ||
| 21 | Linear OA(587, 390633, F5, 13) (dual of [390633, 390546, 14]-code) | [i] | ||
| 22 | Linear OA(597, 1953133, F5, 13) (dual of [1953133, 1953036, 14]-code) | [i] | ||
| 23 | Linear OA(543, 133, F5, 15) (dual of [133, 90, 16]-code) | [i] | ||
| 24 | Linear OA(593, 98, F5, 55) (dual of [98, 5, 56]-code) | [i] | ||
| 25 | Linear OA(567, 132, F5, 31) (dual of [132, 65, 32]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 26 | Linear OA(590, 155, F5, 38) (dual of [155, 65, 39]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 27 | Linear OA(588, 153, F5, 37) (dual of [153, 65, 38]-code) | [i] | ||
| 28 | Linear OA(585, 150, F5, 37) (dual of [150, 65, 38]-code) | [i] | ||
| 29 | Linear OA(582, 147, F5, 35) (dual of [147, 65, 36]-code) | [i] | ||
| 30 | Linear OA(578, 143, F5, 34) (dual of [143, 65, 35]-code) | [i] | ||
| 31 | Linear OA(573, 138, F5, 33) (dual of [138, 65, 34]-code) | [i] | ||
| 32 | Linear OA(569, 134, F5, 32) (dual of [134, 65, 33]-code) | [i] | ||
| 33 | Linear OA(595, 160, F5, 39) (dual of [160, 65, 40]-code) | [i] | ||
| 34 | Linear OA(522, 3132, F5, 6) (dual of [3132, 3110, 7]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 35 | Linear OA(517, 3132, F5, 4) (dual of [3132, 3115, 5]-code) | [i] | ||
| 36 | Linear OA(5102, 130, F5, 59) (dual of [130, 28, 60]-code) | [i] | Construction X with Varšamov Bound | |
| 37 | Linear OA(5103, 131, F5, 60) (dual of [131, 28, 61]-code) | [i] | ||
| 38 | Linear OA(5104, 132, F5, 61) (dual of [132, 28, 62]-code) | [i] | ||