Information on Result #604394
Linear OA(38, 9, F3, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,3)), using dual of repetition code with length 9
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(38, 9, F3, 7) (dual of [9, 1, 8]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(375, 738, F3, 17) (dual of [738, 663, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(386, 2196, F3, 17) (dual of [2196, 2110, 18]-code) | [i] | ||
| 4 | Linear OA(397, 6570, F3, 17) (dual of [6570, 6473, 18]-code) | [i] | ||
| 5 | Linear OA(3108, 19692, F3, 17) (dual of [19692, 19584, 18]-code) | [i] | ||
| 6 | Linear OA(3119, 59058, F3, 17) (dual of [59058, 58939, 18]-code) | [i] | ||
| 7 | Linear OA(3130, 177156, F3, 17) (dual of [177156, 177026, 18]-code) | [i] | ||
| 8 | Linear OA(3141, 531450, F3, 17) (dual of [531450, 531309, 18]-code) | [i] | ||
| 9 | Linear OA(3152, 1594332, F3, 17) (dual of [1594332, 1594180, 18]-code) | [i] | ||
| 10 | Linear OA(3163, 4782978, F3, 17) (dual of [4782978, 4782815, 18]-code) | [i] | ||
| 11 | Linear OA(369, 738, F3, 16) (dual of [738, 669, 17]-code) | [i] | ||
| 12 | Linear OA(379, 2196, F3, 16) (dual of [2196, 2117, 17]-code) | [i] | ||
| 13 | Linear OA(389, 6570, F3, 16) (dual of [6570, 6481, 17]-code) | [i] | ||
| 14 | Linear OA(399, 19692, F3, 16) (dual of [19692, 19593, 17]-code) | [i] | ||
| 15 | Linear OA(3109, 59058, F3, 16) (dual of [59058, 58949, 17]-code) | [i] | ||
| 16 | Linear OA(3119, 177156, F3, 16) (dual of [177156, 177037, 17]-code) | [i] | ||
| 17 | Linear OA(3129, 531450, F3, 16) (dual of [531450, 531321, 17]-code) | [i] | ||
| 18 | Linear OA(3139, 1594332, F3, 16) (dual of [1594332, 1594193, 17]-code) | [i] | ||
| 19 | Linear OA(3149, 4782978, F3, 16) (dual of [4782978, 4782829, 17]-code) | [i] | ||
| 20 | Linear OA(357, 91, F3, 21) (dual of [91, 34, 22]-code) | [i] | Construction X with Cyclic Codes | |
| 21 | Linear OA(332, 737, F3, 8) (dual of [737, 705, 9]-code) | [i] | Construction X4 with Cyclic Codes | |
| 22 | Linear OA(3245, 252, F3, 161) (dual of [252, 7, 162]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 23 | Linear OA(330, 2196, F3, 7) (dual of [2196, 2166, 8]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 24 | Linear OA(323, 2196, F3, 5) (dual of [2196, 2173, 6]-code) | [i] | ||
| 25 | Linear OA(371, 88, F3, 37) (dual of [88, 17, 38]-code) | [i] | Construction X with Varšamov Bound | |
| 26 | Linear OA(372, 89, F3, 38) (dual of [89, 17, 39]-code) | [i] | ||
| 27 | Linear OA(380, 97, F3, 42) (dual of [97, 17, 43]-code) | [i] | ||
| 28 | Linear OA(381, 98, F3, 43) (dual of [98, 17, 44]-code) | [i] | ||
| 29 | Linear OA(383, 100, F3, 44) (dual of [100, 17, 45]-code) | [i] | ||
| 30 | Linear OA(3110, 131, F3, 56) (dual of [131, 21, 57]-code) | [i] | ||
| 31 | Linear OA(3114, 131, F3, 60) (dual of [131, 17, 61]-code) | [i] | ||
| 32 | Linear OA(3115, 132, F3, 61) (dual of [132, 17, 62]-code) | [i] | ||
| 33 | Linear OA(3171, 192, F3, 90) (dual of [192, 21, 91]-code) | [i] | ||
| 34 | Linear OA(3195, 228, F3, 96) (dual of [228, 33, 97]-code) | [i] | ||
| 35 | Linear OA(3196, 229, F3, 97) (dual of [229, 33, 98]-code) | [i] | ||
| 36 | Linear OA(3119, 140, F3, 61) (dual of [140, 21, 62]-code) | [i] | ||
| 37 | Linear OA(3120, 141, F3, 62) (dual of [141, 21, 63]-code) | [i] | ||