Information on Result #604400
Linear OA(314, 15, F3, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,3)), using dual of repetition code with length 15
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(314, 15, F3, 13) (dual of [15, 1, 14]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(314, 15, F3, 12) (dual of [15, 1, 13]-code) | [i] | ||
| 3 | Linear OA(3103, 256, F3, 29) (dual of [256, 153, 30]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3126, 744, F3, 29) (dual of [744, 618, 30]-code) | [i] | ||
| 5 | Linear OA(3148, 2202, F3, 29) (dual of [2202, 2054, 30]-code) | [i] | ||
| 6 | Linear OA(3167, 6576, F3, 29) (dual of [6576, 6409, 30]-code) | [i] | ||
| 7 | Linear OA(3186, 19698, F3, 29) (dual of [19698, 19512, 30]-code) | [i] | ||
| 8 | Linear OA(3205, 59064, F3, 29) (dual of [59064, 58859, 30]-code) | [i] | ||
| 9 | Linear OA(3224, 177162, F3, 29) (dual of [177162, 176938, 30]-code) | [i] | ||
| 10 | Linear OA(3243, 531456, F3, 29) (dual of [531456, 531213, 30]-code) | [i] | ||
| 11 | Linear OA(3123, 744, F3, 28) (dual of [744, 621, 29]-code) | [i] | ||
| 12 | Linear OA(3141, 2202, F3, 28) (dual of [2202, 2061, 29]-code) | [i] | ||
| 13 | Linear OA(3159, 6576, F3, 28) (dual of [6576, 6417, 29]-code) | [i] | ||
| 14 | Linear OA(3177, 19698, F3, 28) (dual of [19698, 19521, 29]-code) | [i] | ||
| 15 | Linear OA(3195, 59064, F3, 28) (dual of [59064, 58869, 29]-code) | [i] | ||
| 16 | Linear OA(3213, 177162, F3, 28) (dual of [177162, 176949, 29]-code) | [i] | ||
| 17 | Linear OA(3231, 531456, F3, 28) (dual of [531456, 531225, 29]-code) | [i] | ||
| 18 | Linear OA(3249, 1594338, F3, 28) (dual of [1594338, 1594089, 29]-code) | [i] | ||
| 19 | Linear OA(395, 137, F3, 31) (dual of [137, 42, 32]-code) | [i] | Construction X with Cyclic Codes | |
| 20 | Linear OA(3123, 380, F3, 31) (dual of [380, 257, 32]-code) | [i] | ||
| 21 | Linear OA(3123, 161, F3, 37) (dual of [161, 38, 38]-code) | [i] | ||
| 22 | Linear OA(3110, 531455, F3, 14) (dual of [531455, 531345, 15]-code) | [i] | Construction X4 with Cyclic Codes | |
| 23 | Linear OA(3106, 1594338, F3, 13) (dual of [1594338, 1594232, 14]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 24 | Linear OA(393, 1594338, F3, 11) (dual of [1594338, 1594245, 12]-code) | [i] | ||
| 25 | Linear OA(380, 1594338, F3, 10) (dual of [1594338, 1594258, 11]-code) | [i] | ||
| 26 | Linear OA(367, 1594338, F3, 8) (dual of [1594338, 1594271, 9]-code) | [i] | ||
| 27 | Linear OA(354, 1594338, F3, 7) (dual of [1594338, 1594284, 8]-code) | [i] | ||
| 28 | Linear OA(341, 1594338, F3, 5) (dual of [1594338, 1594297, 6]-code) | [i] | ||
| 29 | Linear OA(3214, 247, F3, 109) (dual of [247, 33, 110]-code) | [i] | Construction X with Varšamov Bound | |
| 30 | Linear OA(3215, 248, F3, 110) (dual of [248, 33, 111]-code) | [i] | ||