Information on Result #604397
Linear OA(311, 12, F3, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,3)), using dual of repetition code with length 12
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(311, 12, F3, 10) (dual of [12, 1, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(311, 12, F3, 9) (dual of [12, 1, 10]-code) | [i] | ||
| 3 | Linear OA(387, 255, F3, 23) (dual of [255, 168, 24]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3102, 741, F3, 23) (dual of [741, 639, 24]-code) | [i] | ||
| 5 | Linear OA(3117, 2199, F3, 23) (dual of [2199, 2082, 24]-code) | [i] | ||
| 6 | Linear OA(3132, 6573, F3, 23) (dual of [6573, 6441, 24]-code) | [i] | ||
| 7 | Linear OA(3147, 19695, F3, 23) (dual of [19695, 19548, 24]-code) | [i] | ||
| 8 | Linear OA(3162, 59061, F3, 23) (dual of [59061, 58899, 24]-code) | [i] | ||
| 9 | Linear OA(3177, 177159, F3, 23) (dual of [177159, 176982, 24]-code) | [i] | ||
| 10 | Linear OA(3192, 531453, F3, 23) (dual of [531453, 531261, 24]-code) | [i] | ||
| 11 | Linear OA(3207, 1594335, F3, 23) (dual of [1594335, 1594128, 24]-code) | [i] | ||
| 12 | Linear OA(3222, 4782981, F3, 23) (dual of [4782981, 4782759, 24]-code) | [i] | ||
| 13 | Linear OA(396, 741, F3, 22) (dual of [741, 645, 23]-code) | [i] | ||
| 14 | Linear OA(3110, 2199, F3, 22) (dual of [2199, 2089, 23]-code) | [i] | ||
| 15 | Linear OA(3124, 6573, F3, 22) (dual of [6573, 6449, 23]-code) | [i] | ||
| 16 | Linear OA(3138, 19695, F3, 22) (dual of [19695, 19557, 23]-code) | [i] | ||
| 17 | Linear OA(3152, 59061, F3, 22) (dual of [59061, 58909, 23]-code) | [i] | ||
| 18 | Linear OA(3166, 177159, F3, 22) (dual of [177159, 176993, 23]-code) | [i] | ||
| 19 | Linear OA(3180, 531453, F3, 22) (dual of [531453, 531273, 23]-code) | [i] | ||
| 20 | Linear OA(3194, 1594335, F3, 22) (dual of [1594335, 1594141, 23]-code) | [i] | ||
| 21 | Linear OA(3208, 4782981, F3, 22) (dual of [4782981, 4782773, 23]-code) | [i] | ||
| 22 | Linear OA(3159, 753, F3, 35) (dual of [753, 594, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 23 | Linear OA(3153, 753, F3, 34) (dual of [753, 600, 35]-code) | [i] | ||
| 24 | Linear OA(368, 94, F3, 25) (dual of [94, 26, 26]-code) | [i] | Construction X with Cyclic Codes | |
| 25 | Linear OA(392, 256, F3, 25) (dual of [256, 164, 26]-code) | [i] | ||
| 26 | Linear OA(3108, 742, F3, 25) (dual of [742, 634, 26]-code) | [i] | ||
| 27 | Linear OA(376, 94, F3, 27) (dual of [94, 18, 28]-code) | [i] | ||
| 28 | Linear OA(365, 19694, F3, 11) (dual of [19694, 19629, 12]-code) | [i] | Construction X4 with Cyclic Codes | |
| 29 | Linear OA(342, 256, F3, 11) (dual of [256, 214, 12]-code) | [i] | ||
| 30 | Linear OA(332, 256, F3, 9) (dual of [256, 224, 10]-code) | [i] | ||
| 31 | Linear OA(362, 59061, F3, 10) (dual of [59061, 58999, 11]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 32 | Linear OA(352, 59061, F3, 8) (dual of [59061, 59009, 9]-code) | [i] | ||
| 33 | Linear OA(342, 59061, F3, 7) (dual of [59061, 59019, 8]-code) | [i] | ||
| 34 | Linear OA(332, 59061, F3, 5) (dual of [59061, 59029, 6]-code) | [i] | ||
| 35 | Linear OA(352, 6573, F3, 10) (dual of [6573, 6521, 11]-code) | [i] | ||
| 36 | Linear OA(322, 255, F3, 6) (dual of [255, 233, 7]-code) | [i] | ||
| 37 | Linear OA(328, 93, F3, 10) (dual of [93, 65, 11]-code) | [i] | ||
| 38 | Linear OA(324, 93, F3, 8) (dual of [93, 69, 9]-code) | [i] | ||
| 39 | Linear OA(3205, 238, F3, 103) (dual of [238, 33, 104]-code) | [i] | Construction X with Varšamov Bound | |
| 40 | Linear OA(3206, 239, F3, 104) (dual of [239, 33, 105]-code) | [i] | ||