Information on Result #604395
Linear OA(39, 10, F3, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,3)), using dual of repetition code with length 10
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(39, 10, F3, 8) (dual of [10, 1, 9]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(350, 93, F3, 19) (dual of [93, 43, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3131, 749, F3, 29) (dual of [749, 618, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(370, 254, F3, 19) (dual of [254, 184, 20]-code) | [i] | Construction X with Cyclic Codes | |
| 5 | Linear OA(382, 740, F3, 19) (dual of [740, 658, 20]-code) | [i] | ||
| 6 | Linear OA(394, 2198, F3, 19) (dual of [2198, 2104, 20]-code) | [i] | ||
| 7 | Linear OA(3106, 6572, F3, 19) (dual of [6572, 6466, 20]-code) | [i] | ||
| 8 | Linear OA(3118, 19694, F3, 19) (dual of [19694, 19576, 20]-code) | [i] | ||
| 9 | Linear OA(3130, 59060, F3, 19) (dual of [59060, 58930, 20]-code) | [i] | ||
| 10 | Linear OA(3142, 177158, F3, 19) (dual of [177158, 177016, 20]-code) | [i] | ||
| 11 | Linear OA(3154, 531452, F3, 19) (dual of [531452, 531298, 20]-code) | [i] | ||
| 12 | Linear OA(3166, 1594334, F3, 19) (dual of [1594334, 1594168, 20]-code) | [i] | ||
| 13 | Linear OA(3178, 4782980, F3, 19) (dual of [4782980, 4782802, 20]-code) | [i] | ||
| 14 | Linear OA(380, 254, F3, 21) (dual of [254, 174, 22]-code) | [i] | ||
| 15 | Linear OA(394, 740, F3, 21) (dual of [740, 646, 22]-code) | [i] | ||
| 16 | Linear OA(3202, 210, F3, 109) (dual of [210, 8, 110]-code) | [i] | ||
| 17 | Linear OA(3203, 210, F3, 119) (dual of [210, 7, 120]-code) | [i] | ||
| 18 | Linear OA(349, 6570, F3, 9) (dual of [6570, 6521, 10]-code) | [i] | Construction X4 with Cyclic Codes | |
| 19 | Linear OA(337, 2196, F3, 8) (dual of [2196, 2159, 9]-code) | [i] | ||
| 20 | Linear OA(326, 92, F3, 9) (dual of [92, 66, 10]-code) | [i] | ||
| 21 | Linear OA(342, 6571, F3, 8) (dual of [6571, 6529, 9]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 22 | Linear OA(334, 6571, F3, 7) (dual of [6571, 6537, 8]-code) | [i] | ||
| 23 | Linear OA(318, 91, F3, 6) (dual of [91, 73, 7]-code) | [i] | ||
| 24 | Linear OA(374, 91, F3, 39) (dual of [91, 17, 40]-code) | [i] | Construction X with Varšamov Bound | |
| 25 | Linear OA(375, 92, F3, 40) (dual of [92, 17, 41]-code) | [i] | ||
| 26 | Linear OA(3117, 134, F3, 62) (dual of [134, 17, 63]-code) | [i] | ||
| 27 | Linear OA(3198, 231, F3, 98) (dual of [231, 33, 99]-code) | [i] | ||
| 28 | Linear OA(3199, 232, F3, 99) (dual of [232, 33, 100]-code) | [i] | ||
| 29 | Linear OA(3200, 233, F3, 100) (dual of [233, 33, 101]-code) | [i] | ||