Information on Result #604413
Linear OA(327, 28, F3, 27) (dual of [28, 1, 28]-code or 28-arc in PG(26,3)), using dual of repetition code with length 28
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(327, 28, F3, 26) (dual of [28, 1, 27]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(327, 28, F3, 25) (dual of [28, 1, 26]-code) | [i] | ||
| 3 | Linear OA(327, 28, F3, 24) (dual of [28, 1, 25]-code) | [i] | ||
| 4 | Linear OA(327, 28, F3, 23) (dual of [28, 1, 24]-code) | [i] | ||
| 5 | Linear OA(327, 28, F3, 22) (dual of [28, 1, 23]-code) | [i] | ||
| 6 | Linear OA(327, 28, F3, 21) (dual of [28, 1, 22]-code) | [i] | ||
| 7 | Linear OA(3238, 756, F3, 55) (dual of [756, 518, 56]-code) | [i] | (u, u+v)-Construction | |
| 8 | Linear OA(372, 124, F3, 27) (dual of [124, 52, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(377, 150, F3, 27) (dual of [150, 73, 28]-code) | [i] | ||
| 10 | Linear OA(378, 156, F3, 27) (dual of [156, 78, 28]-code) | [i] | ||
| 11 | Linear OA(379, 162, F3, 27) (dual of [162, 83, 28]-code) | [i] | ||
| 12 | Linear OA(381, 175, F3, 27) (dual of [175, 94, 28]-code) | [i] | ||
| 13 | Linear OA(382, 182, F3, 27) (dual of [182, 100, 28]-code) | [i] | ||
| 14 | Linear OA(390, 250, F3, 27) (dual of [250, 160, 28]-code) | [i] | ||
| 15 | Linear OA(391, 260, F3, 27) (dual of [260, 169, 28]-code) | [i] | ||
| 16 | Linear OA(396, 318, F3, 27) (dual of [318, 222, 28]-code) | [i] | ||
| 17 | Linear OA(397, 331, F3, 27) (dual of [331, 234, 28]-code) | [i] | ||
| 18 | Linear OA(398, 345, F3, 27) (dual of [345, 247, 28]-code) | [i] | ||
| 19 | Linear OA(399, 359, F3, 27) (dual of [359, 260, 28]-code) | [i] | ||
| 20 | Linear OA(3100, 374, F3, 27) (dual of [374, 274, 28]-code) | [i] | ||
| 21 | Linear OA(3105, 459, F3, 27) (dual of [459, 354, 28]-code) | [i] | ||
| 22 | Linear OA(3232, 393, F3, 57) (dual of [393, 161, 58]-code) | [i] | Construction X with Cyclic Codes | |
| 23 | Linear OA(3244, 758, F3, 57) (dual of [758, 514, 58]-code) | [i] | ||
| 24 | Linear OA(3236, 1594352, F3, 27) (dual of [1594352, 1594116, 28]-code) | [i] | Construction X4 with Cyclic Codes | |
| 25 | Linear OA(3210, 1594352, F3, 23) (dual of [1594352, 1594142, 24]-code) | [i] | ||
| 26 | Linear OA(3184, 1594352, F3, 21) (dual of [1594352, 1594168, 22]-code) | [i] | ||
| 27 | Linear OA(3132, 1594352, F3, 15) (dual of [1594352, 1594220, 16]-code) | [i] | ||
| 28 | Linear OA(380, 1594352, F3, 9) (dual of [1594352, 1594272, 10]-code) | [i] | ||
| 29 | Linear OA(3210, 1594351, F3, 24) (dual of [1594351, 1594141, 25]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 30 | Linear OA(3158, 1594351, F3, 18) (dual of [1594351, 1594193, 19]-code) | [i] | ||
| 31 | Linear OA(3106, 1594351, F3, 12) (dual of [1594351, 1594245, 13]-code) | [i] | ||
| 32 | Linear OA(354, 1594351, F3, 6) (dual of [1594351, 1594297, 7]-code) | [i] | ||