Information on Result #604407
Linear OA(321, 22, F3, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,3)), using dual of repetition code with length 22
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(321, 22, F3, 20) (dual of [22, 1, 21]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(321, 22, F3, 19) (dual of [22, 1, 20]-code) | [i] | ||
| 3 | Linear OA(321, 22, F3, 18) (dual of [22, 1, 19]-code) | [i] | ||
| 4 | Linear OA(321, 22, F3, 17) (dual of [22, 1, 18]-code) | [i] | ||
| 5 | Linear OA(3187, 751, F3, 43) (dual of [751, 564, 44]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(366, 166, F3, 21) (dual of [166, 100, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(367, 175, F3, 21) (dual of [175, 108, 22]-code) | [i] | ||
| 8 | Linear OA(369, 194, F3, 21) (dual of [194, 125, 22]-code) | [i] | ||
| 9 | Linear OA(395, 777, F3, 21) (dual of [777, 682, 22]-code) | [i] | ||
| 10 | Linear OA(396, 820, F3, 21) (dual of [820, 724, 22]-code) | [i] | ||
| 11 | Linear OA(3218, 2210, F3, 43) (dual of [2210, 1992, 44]-code) | [i] | Construction X with Cyclic Codes | |
| 12 | Linear OA(3246, 6584, F3, 43) (dual of [6584, 6338, 44]-code) | [i] | ||
| 13 | Linear OA(3172, 266, F3, 45) (dual of [266, 94, 46]-code) | [i] | ||
| 14 | Linear OA(3190, 387, F3, 45) (dual of [387, 197, 46]-code) | [i] | ||
| 15 | Linear OA(3202, 752, F3, 45) (dual of [752, 550, 46]-code) | [i] | ||
| 16 | Linear OA(3142, 59072, F3, 21) (dual of [59072, 58930, 22]-code) | [i] | Construction X4 with Cyclic Codes | |
| 17 | Linear OA(3102, 59072, F3, 15) (dual of [59072, 58970, 16]-code) | [i] | ||
| 18 | Linear OA(362, 59072, F3, 9) (dual of [59072, 59010, 10]-code) | [i] | ||
| 19 | Linear OA(3122, 59071, F3, 18) (dual of [59071, 58949, 19]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 20 | Linear OA(382, 59071, F3, 12) (dual of [59071, 58989, 13]-code) | [i] | ||
| 21 | Linear OA(342, 59071, F3, 6) (dual of [59071, 59029, 7]-code) | [i] | ||