Information on Result #604901
Linear OA(53, 4, F5, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,5) or 4-cap in PG(2,5)), using dual of repetition code with length 4
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(567, 156, F5, 10) (dual of [156, 89, 11]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(572, 82, F5, 42) (dual of [82, 10, 43]-code) | [i] | ||
| 3 | Linear OA(573, 82, F5, 46) (dual of [82, 9, 47]-code) | [i] | ||
| 4 | Linear OA(577, 82, F5, 49) (dual of [82, 5, 50]-code) | [i] | ||
| 5 | Linear OA(591, 100, F5, 51) (dual of [100, 9, 52]-code) | [i] | ||
| 6 | Linear OA(592, 100, F5, 55) (dual of [100, 8, 56]-code) | [i] | ||
| 7 | Linear OA(594, 100, F5, 59) (dual of [100, 6, 60]-code) | [i] | ||
| 8 | Linear OA(596, 100, F5, 75) (dual of [100, 4, 76]-code) | [i] | ||
| 9 | Linear OA(5142, 640, F5, 43) (dual of [640, 498, 44]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 10 | Linear OA(5133, 663, F5, 36) (dual of [663, 530, 37]-code) | [i] | ||
| 11 | Linear OA(5121, 651, F5, 35) (dual of [651, 530, 36]-code) | [i] | ||
| 12 | Linear OA(5110, 640, F5, 33) (dual of [640, 530, 34]-code) | [i] | ||
| 13 | Linear OA(589, 651, F5, 25) (dual of [651, 562, 26]-code) | [i] | ||
| 14 | Linear OA(578, 640, F5, 23) (dual of [640, 562, 24]-code) | [i] | ||
| 15 | Linear OA(557, 651, F5, 15) (dual of [651, 594, 16]-code) | [i] | ||
| 16 | Linear OA(546, 640, F5, 13) (dual of [640, 594, 14]-code) | [i] | ||
| 17 | Linear OA(5134, 327, F5, 43) (dual of [327, 193, 44]-code) | [i] | ||
| 18 | Linear OA(5102, 327, F5, 33) (dual of [327, 225, 34]-code) | [i] | ||
| 19 | Linear OA(536, 138, F5, 13) (dual of [138, 102, 14]-code) | [i] | ||
| 20 | Linear OA(5137, 158, F5, 80) (dual of [158, 21, 81]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 21 | Linear OA(5136, 157, F5, 80) (dual of [157, 21, 81]-code) | [i] | ||
| 22 | Linear OA(5125, 146, F5, 74) (dual of [146, 21, 75]-code) | [i] | ||
| 23 | Linear OA(5119, 140, F5, 72) (dual of [140, 21, 73]-code) | [i] | ||
| 24 | Linear OA(5112, 133, F5, 69) (dual of [133, 21, 70]-code) | [i] | ||
| 25 | Linear OA(538, 71, F5, 17) (dual of [71, 33, 18]-code) | [i] | ||
| 26 | Linear OA(519, 35, F5, 11) (dual of [35, 16, 12]-code) | [i] | Construction X with Varšamov Bound | |
| 27 | Linear OA(551, 67, F5, 30) (dual of [67, 16, 31]-code) | [i] | ||
| 28 | Linear OA(560, 76, F5, 36) (dual of [76, 16, 37]-code) | [i] | ||
| 29 | Linear OA(564, 129, F5, 30) (dual of [129, 65, 31]-code) | [i] | ||
| 30 | Linear OA(565, 130, F5, 31) (dual of [130, 65, 32]-code) | [i] | ||
| 31 | Linear OA(592, 120, F5, 52) (dual of [120, 28, 53]-code) | [i] | ||
| 32 | Linear OA(593, 121, F5, 53) (dual of [121, 28, 54]-code) | [i] | ||
| 33 | Linear OA(5141, 160, F5, 88) (dual of [160, 19, 89]-code) | [i] | ||
| 34 | Linear OA(5142, 161, F5, 89) (dual of [161, 19, 90]-code) | [i] | ||
| 35 | Linear OA(5150, 167, F5, 96) (dual of [167, 17, 97]-code) | [i] | ||
| 36 | Linear OA(534, 66, F5, 18) (dual of [66, 32, 19]-code) | [i] | ||
| 37 | Linear OA(549, 73, F5, 27) (dual of [73, 24, 28]-code) | [i] | ||
| 38 | Linear OA(580, 107, F5, 45) (dual of [107, 27, 46]-code) | [i] | ||
| 39 | Linear OA(581, 108, F5, 46) (dual of [108, 27, 47]-code) | [i] | ||