Information on Result #609750
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(350, 56, F3, 35) (dual of [56, 6, 36]-code) | [i] | Dual Code (with Bound on d by Construction Y1) | |
| 2 | Linear OA(37, 112, F3, 3) (dual of [112, 105, 4]-code or 112-cap in PG(6,3)) | [i] | Doubling a Cap | |
| 3 | Linear OA(317, 307328, F3, 3) (dual of [307328, 307311, 4]-code or 307328-cap in PG(16,3)) | [i] | Product of Two Projective Caps and 2-Cap in AG(1, b) | |
| 4 | Linear OA(3247, 531496, F3, 29) (dual of [531496, 531249, 30]-code) | [i] | Construction X with Cyclic Codes | |
| 5 | Linear OA(3227, 177198, F3, 29) (dual of [177198, 176971, 30]-code) | [i] | ||
| 6 | Linear OOA(36, 56, F3, 2, 3) (dual of [(56, 2), 106, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 7 | Linear OOA(36, 55, F3, 3, 3) (dual of [(55, 3), 159, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |