Information on Result #604415
Linear OA(329, 30, F3, 29) (dual of [30, 1, 30]-code or 30-arc in PG(28,3)), using dual of repetition code with length 30
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(329, 30, F3, 28) (dual of [30, 1, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(329, 30, F3, 27) (dual of [30, 1, 28]-code) | [i] | ||
| 3 | Linear OA(329, 30, F3, 26) (dual of [30, 1, 27]-code) | [i] | ||
| 4 | Linear OA(329, 30, F3, 25) (dual of [30, 1, 26]-code) | [i] | ||
| 5 | Linear OA(329, 30, F3, 24) (dual of [30, 1, 25]-code) | [i] | ||
| 6 | Linear OA(329, 30, F3, 23) (dual of [30, 1, 24]-code) | [i] | ||
| 7 | Linear OA(3246, 759, F3, 58) (dual of [759, 513, 59]-code) | [i] | (u, u+v)-Construction | |
| 8 | Linear OA(378, 135, F3, 29) (dual of [135, 57, 30]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(379, 140, F3, 29) (dual of [140, 61, 30]-code) | [i] | ||
| 10 | Linear OA(380, 145, F3, 29) (dual of [145, 65, 30]-code) | [i] | ||
| 11 | Linear OA(381, 150, F3, 29) (dual of [150, 69, 30]-code) | [i] | ||
| 12 | Linear OA(383, 161, F3, 29) (dual of [161, 78, 30]-code) | [i] | ||
| 13 | Linear OA(384, 167, F3, 29) (dual of [167, 83, 30]-code) | [i] | ||
| 14 | Linear OA(385, 173, F3, 29) (dual of [173, 88, 30]-code) | [i] | ||
| 15 | Linear OA(387, 186, F3, 29) (dual of [186, 99, 30]-code) | [i] | ||
| 16 | Linear OA(388, 193, F3, 29) (dual of [193, 105, 30]-code) | [i] | ||
| 17 | Linear OA(399, 289, F3, 29) (dual of [289, 190, 30]-code) | [i] | ||
| 18 | Linear OA(3100, 300, F3, 29) (dual of [300, 200, 30]-code) | [i] | ||
| 19 | Linear OA(3109, 421, F3, 29) (dual of [421, 312, 30]-code) | [i] | ||
| 20 | Linear OA(3132, 1017, F3, 29) (dual of [1017, 885, 30]-code) | [i] | ||
| 21 | Linear OA(3190, 274, F3, 61) (dual of [274, 84, 62]-code) | [i] | Construction X with Cyclic Codes | |
| 22 | Linear OA(3198, 4783000, F3, 21) (dual of [4783000, 4782802, 22]-code) | [i] | Construction X4 with Cyclic Codes | |
| 23 | Linear OA(3142, 4783000, F3, 15) (dual of [4783000, 4782858, 16]-code) | [i] | ||
| 24 | Linear OA(386, 4783000, F3, 9) (dual of [4783000, 4782914, 10]-code) | [i] | ||
| 25 | Linear OA(3142, 2218, F3, 27) (dual of [2218, 2076, 28]-code) | [i] | ||
| 26 | Linear OA(3226, 4782999, F3, 24) (dual of [4782999, 4782773, 25]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 27 | Linear OA(3170, 4782999, F3, 18) (dual of [4782999, 4782829, 19]-code) | [i] | ||
| 28 | Linear OA(3114, 4782999, F3, 12) (dual of [4782999, 4782885, 13]-code) | [i] | ||
| 29 | Linear OA(358, 4782999, F3, 6) (dual of [4782999, 4782941, 7]-code) | [i] | ||