Information on Result #604398
Linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using dual of repetition code with length 13
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(312, 13, F3, 11) (dual of [13, 1, 12]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(312, 13, F3, 10) (dual of [13, 1, 11]-code) | [i] | ||
| 3 | Linear OA(365, 120, F3, 25) (dual of [120, 55, 26]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3173, 755, F3, 38) (dual of [755, 582, 39]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(3167, 755, F3, 37) (dual of [755, 588, 38]-code) | [i] | ||
| 6 | Linear OA(347, 274, F3, 12) (dual of [274, 227, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3125, 2201, F3, 25) (dual of [2201, 2076, 26]-code) | [i] | Construction X with Cyclic Codes | |
| 8 | Linear OA(3141, 6575, F3, 25) (dual of [6575, 6434, 26]-code) | [i] | ||
| 9 | Linear OA(3157, 19697, F3, 25) (dual of [19697, 19540, 26]-code) | [i] | ||
| 10 | Linear OA(3173, 59063, F3, 25) (dual of [59063, 58890, 26]-code) | [i] | ||
| 11 | Linear OA(3189, 177161, F3, 25) (dual of [177161, 176972, 26]-code) | [i] | ||
| 12 | Linear OA(3205, 531455, F3, 25) (dual of [531455, 531250, 26]-code) | [i] | ||
| 13 | Linear OA(3221, 1594337, F3, 25) (dual of [1594337, 1594116, 26]-code) | [i] | ||
| 14 | Linear OA(3237, 4782983, F3, 25) (dual of [4782983, 4782746, 26]-code) | [i] | ||
| 15 | Linear OA(3149, 156, F3, 56) (dual of [156, 7, 57]-code) | [i] | ||
| 16 | Linear OA(389, 177159, F3, 12) (dual of [177159, 177070, 13]-code) | [i] | Construction X4 with Cyclic Codes | |
| 17 | Linear OA(372, 59061, F3, 11) (dual of [59061, 58989, 12]-code) | [i] | ||
| 18 | Linear OA(379, 177160, F3, 11) (dual of [177160, 177081, 12]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 19 | Linear OA(368, 177160, F3, 10) (dual of [177160, 177092, 11]-code) | [i] | ||
| 20 | Linear OA(357, 177160, F3, 8) (dual of [177160, 177103, 9]-code) | [i] | ||
| 21 | Linear OA(346, 177160, F3, 7) (dual of [177160, 177114, 8]-code) | [i] | ||
| 22 | Linear OA(335, 177160, F3, 5) (dual of [177160, 177125, 6]-code) | [i] | ||
| 23 | Linear OA(3208, 241, F3, 105) (dual of [241, 33, 106]-code) | [i] | Construction X with Varšamov Bound | |
| 24 | Linear OA(3209, 242, F3, 106) (dual of [242, 33, 107]-code) | [i] | ||