Information on Result #604903
Linear OA(55, 6, F5, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,5)), using dual of repetition code with length 6
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(520, 36, F5, 11) (dual of [36, 16, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(564, 637, F5, 17) (dual of [637, 573, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 3 | Linear OA(577, 3137, F5, 17) (dual of [3137, 3060, 18]-code) | [i] | ||
| 4 | Linear OA(590, 15637, F5, 17) (dual of [15637, 15547, 18]-code) | [i] | ||
| 5 | Linear OA(5103, 78137, F5, 17) (dual of [78137, 78034, 18]-code) | [i] | ||
| 6 | Linear OA(5116, 390637, F5, 17) (dual of [390637, 390521, 18]-code) | [i] | ||
| 7 | Linear OA(5129, 1953137, F5, 17) (dual of [1953137, 1953008, 18]-code) | [i] | ||
| 8 | Linear OA(584, 15637, F5, 16) (dual of [15637, 15553, 17]-code) | [i] | ||
| 9 | Linear OA(596, 78137, F5, 16) (dual of [78137, 78041, 17]-code) | [i] | ||
| 10 | Linear OA(5108, 390637, F5, 16) (dual of [390637, 390529, 17]-code) | [i] | ||
| 11 | Linear OA(5120, 1953137, F5, 16) (dual of [1953137, 1953017, 17]-code) | [i] | ||
| 12 | Linear OA(530, 132, F5, 11) (dual of [132, 102, 12]-code) | [i] | Construction X with Cyclic Codes | |
| 13 | Linear OA(538, 632, F5, 11) (dual of [632, 594, 12]-code) | [i] | ||
| 14 | Linear OA(546, 3132, F5, 11) (dual of [3132, 3086, 12]-code) | [i] | ||
| 15 | Linear OA(554, 15632, F5, 11) (dual of [15632, 15578, 12]-code) | [i] | ||
| 16 | Linear OA(562, 78132, F5, 11) (dual of [78132, 78070, 12]-code) | [i] | ||
| 17 | Linear OA(570, 390632, F5, 11) (dual of [390632, 390562, 12]-code) | [i] | ||
| 18 | Linear OA(578, 1953132, F5, 11) (dual of [1953132, 1953054, 12]-code) | [i] | ||
| 19 | Linear OA(522, 32, F5, 13) (dual of [32, 10, 14]-code) | [i] | ||
| 20 | Linear OA(546, 632, F5, 13) (dual of [632, 586, 14]-code) | [i] | ||
| 21 | Linear OA(584, 99, F5, 36) (dual of [99, 15, 37]-code) | [i] | ||
| 22 | Linear OA(589, 99, F5, 41) (dual of [99, 10, 42]-code) | [i] | ||
| 23 | Linear OA(5131, 148, F5, 59) (dual of [148, 17, 60]-code) | [i] | ||
| 24 | Linear OA(5118, 123, F5, 74) (dual of [123, 5, 75]-code) | [i] | ||
| 25 | Linear OA(5136, 148, F5, 76) (dual of [148, 12, 77]-code) | [i] | ||
| 26 | Linear OA(5141, 150, F5, 77) (dual of [150, 9, 78]-code) | [i] | ||
| 27 | Linear OA(5137, 148, F5, 82) (dual of [148, 11, 83]-code) | [i] | ||
| 28 | Linear OA(5142, 148, F5, 89) (dual of [148, 6, 90]-code) | [i] | ||
| 29 | Linear OA(599, 127, F5, 57) (dual of [127, 28, 58]-code) | [i] | Construction X with Varšamov Bound | |
| 30 | Linear OA(5100, 128, F5, 58) (dual of [128, 28, 59]-code) | [i] | ||
| 31 | Linear OA(5109, 137, F5, 64) (dual of [137, 28, 65]-code) | [i] | ||
| 32 | Linear OA(5112, 140, F5, 65) (dual of [140, 28, 66]-code) | [i] | ||