Information on Result #604393
Linear OA(37, 8, F3, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,3)), using dual of repetition code with length 8
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(37, 8, F3, 6) (dual of [8, 1, 7]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(353, 251, F3, 14) (dual of [251, 198, 15]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(362, 737, F3, 14) (dual of [737, 675, 15]-code) | [i] | ||
| 4 | Linear OA(371, 2195, F3, 14) (dual of [2195, 2124, 15]-code) | [i] | ||
| 5 | Linear OA(380, 6569, F3, 14) (dual of [6569, 6489, 15]-code) | [i] | ||
| 6 | Linear OA(389, 19691, F3, 14) (dual of [19691, 19602, 15]-code) | [i] | ||
| 7 | Linear OA(398, 59057, F3, 14) (dual of [59057, 58959, 15]-code) | [i] | ||
| 8 | Linear OA(3107, 177155, F3, 14) (dual of [177155, 177048, 15]-code) | [i] | ||
| 9 | Linear OA(3116, 531449, F3, 14) (dual of [531449, 531333, 15]-code) | [i] | ||
| 10 | Linear OA(3125, 1594331, F3, 14) (dual of [1594331, 1594206, 15]-code) | [i] | ||
| 11 | Linear OA(3134, 4782977, F3, 14) (dual of [4782977, 4782843, 15]-code) | [i] | ||
| 12 | Linear OA(358, 252, F3, 15) (dual of [252, 194, 16]-code) | [i] | Construction X with Cyclic Codes | |
| 13 | Linear OA(368, 738, F3, 15) (dual of [738, 670, 16]-code) | [i] | ||
| 14 | Linear OA(378, 2196, F3, 15) (dual of [2196, 2118, 16]-code) | [i] | ||
| 15 | Linear OA(388, 6570, F3, 15) (dual of [6570, 6482, 16]-code) | [i] | ||
| 16 | Linear OA(398, 19692, F3, 15) (dual of [19692, 19594, 16]-code) | [i] | ||
| 17 | Linear OA(3108, 59058, F3, 15) (dual of [59058, 58950, 16]-code) | [i] | ||
| 18 | Linear OA(3118, 177156, F3, 15) (dual of [177156, 177038, 16]-code) | [i] | ||
| 19 | Linear OA(3128, 531450, F3, 15) (dual of [531450, 531322, 16]-code) | [i] | ||
| 20 | Linear OA(3138, 1594332, F3, 15) (dual of [1594332, 1594194, 16]-code) | [i] | ||
| 21 | Linear OA(3148, 4782978, F3, 15) (dual of [4782978, 4782830, 16]-code) | [i] | ||
| 22 | Linear OA(3128, 136, F3, 47) (dual of [136, 8, 48]-code) | [i] | ||
| 23 | Linear OA(3227, 255, F3, 48) (dual of [255, 28, 49]-code) | [i] | ||
| 24 | Linear OA(3169, 184, F3, 51) (dual of [184, 15, 52]-code) | [i] | ||
| 25 | Linear OA(3175, 184, F3, 63) (dual of [184, 9, 64]-code) | [i] | ||
| 26 | Linear OA(3206, 216, F3, 111) (dual of [216, 10, 112]-code) | [i] | ||
| 27 | Linear OA(3204, 213, F3, 113) (dual of [213, 9, 114]-code) | [i] | ||
| 28 | Linear OA(3207, 216, F3, 119) (dual of [216, 9, 120]-code) | [i] | ||
| 29 | Linear OA(3210, 216, F3, 137) (dual of [216, 6, 138]-code) | [i] | ||
| 30 | Linear OA(326, 737, F3, 7) (dual of [737, 711, 8]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 31 | Linear OA(320, 737, F3, 5) (dual of [737, 717, 6]-code) | [i] | ||
| 32 | Linear OA(369, 86, F3, 36) (dual of [86, 17, 37]-code) | [i] | Construction X with Varšamov Bound | |
| 33 | Linear OA(388, 105, F3, 46) (dual of [105, 17, 47]-code) | [i] | ||
| 34 | Linear OA(3107, 128, F3, 54) (dual of [128, 21, 55]-code) | [i] | ||
| 35 | Linear OA(3108, 129, F3, 55) (dual of [129, 21, 56]-code) | [i] | ||
| 36 | Linear OA(3111, 128, F3, 58) (dual of [128, 17, 59]-code) | [i] | ||
| 37 | Linear OA(3112, 129, F3, 59) (dual of [129, 17, 60]-code) | [i] | ||
| 38 | Linear OA(3192, 225, F3, 94) (dual of [225, 33, 95]-code) | [i] | ||
| 39 | Linear OA(3193, 226, F3, 95) (dual of [226, 33, 96]-code) | [i] | ||
| 40 | Linear OA(3117, 138, F3, 60) (dual of [138, 21, 61]-code) | [i] | ||