Information on Result #604647
Linear OA(410, 11, F4, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,4)), using dual of repetition code with length 11
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(410, 11, F4, 9) (dual of [11, 1, 10]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(447, 75, F4, 21) (dual of [75, 28, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(469, 267, F4, 21) (dual of [267, 198, 22]-code) | [i] | ||
| 4 | Linear OA(486, 1035, F4, 21) (dual of [1035, 949, 22]-code) | [i] | ||
| 5 | Linear OA(4101, 4107, F4, 21) (dual of [4107, 4006, 22]-code) | [i] | ||
| 6 | Linear OA(4116, 16395, F4, 21) (dual of [16395, 16279, 22]-code) | [i] | ||
| 7 | Linear OA(4131, 65547, F4, 21) (dual of [65547, 65416, 22]-code) | [i] | ||
| 8 | Linear OA(4146, 262155, F4, 21) (dual of [262155, 262009, 22]-code) | [i] | ||
| 9 | Linear OA(4161, 1048587, F4, 21) (dual of [1048587, 1048426, 22]-code) | [i] | ||
| 10 | Linear OA(4176, 4194315, F4, 21) (dual of [4194315, 4194139, 22]-code) | [i] | ||
| 11 | Linear OA(4160, 4118, F4, 31) (dual of [4118, 3958, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(4183, 16406, F4, 31) (dual of [16406, 16223, 32]-code) | [i] | ||
| 13 | Linear OA(4206, 65558, F4, 31) (dual of [65558, 65352, 32]-code) | [i] | ||
| 14 | Linear OA(4229, 262166, F4, 31) (dual of [262166, 261937, 32]-code) | [i] | ||
| 15 | Linear OA(4252, 1048598, F4, 31) (dual of [1048598, 1048346, 32]-code) | [i] | ||
| 16 | Linear OA(4176, 16406, F4, 30) (dual of [16406, 16230, 31]-code) | [i] | ||
| 17 | Linear OA(4198, 65558, F4, 30) (dual of [65558, 65360, 31]-code) | [i] | ||
| 18 | Linear OA(4220, 262166, F4, 30) (dual of [262166, 261946, 31]-code) | [i] | ||
| 19 | Linear OA(4242, 1048598, F4, 30) (dual of [1048598, 1048356, 31]-code) | [i] | ||
| 20 | Linear OA(428, 108, F4, 10) (dual of [108, 80, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 21 | Linear OA(4109, 140, F4, 32) (dual of [140, 31, 33]-code) | [i] | Construction X with Cyclic Codes | |
| 22 | Linear OA(4155, 524, F4, 32) (dual of [524, 369, 33]-code) | [i] | ||
| 23 | Linear OA(4176, 694, F4, 32) (dual of [694, 518, 33]-code) | [i] | ||
| 24 | Linear OA(4187, 2060, F4, 32) (dual of [2060, 1873, 33]-code) | [i] | ||
| 25 | Linear OA(4219, 8204, F4, 32) (dual of [8204, 7985, 33]-code) | [i] | ||
| 26 | Linear OA(4251, 32780, F4, 32) (dual of [32780, 32529, 33]-code) | [i] | ||
| 27 | Linear OA(467, 76, F4, 43) (dual of [76, 9, 44]-code) | [i] | ||
| 28 | Linear OA(4170, 176, F4, 87) (dual of [176, 6, 88]-code) | [i] | ||
| 29 | Linear OA(458, 65546, F4, 10) (dual of [65546, 65488, 11]-code) | [i] | Construction X4 with Cyclic Codes | |
| 30 | Linear OA(456, 262155, F4, 9) (dual of [262155, 262099, 10]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 31 | Linear OA(447, 262155, F4, 7) (dual of [262155, 262108, 8]-code) | [i] | ||
| 32 | Linear OA(438, 262155, F4, 6) (dual of [262155, 262117, 7]-code) | [i] | ||
| 33 | Linear OA(429, 262155, F4, 5) (dual of [262155, 262126, 6]-code) | [i] | ||