Information on Result #605070
Linear OA(721, 22, F7, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,7)), 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(721, 22, F7, 20) (dual of [22, 1, 21]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(757, 365, F7, 21) (dual of [365, 308, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(764, 711, F7, 21) (dual of [711, 647, 22]-code) | [i] | ||
| 4 | Linear OA(769, 1150, F7, 21) (dual of [1150, 1081, 22]-code) | [i] | ||
| 5 | Linear OA(7106, 110, F7, 65) (dual of [110, 4, 66]-code) | [i] | Construction X with Cyclic Codes | |
| 6 | Linear OA(7102, 16830, F7, 21) (dual of [16830, 16728, 22]-code) | [i] | Construction X4 with Cyclic Codes | |
| 7 | Linear OA(792, 16830, F7, 19) (dual of [16830, 16738, 20]-code) | [i] | ||
| 8 | Linear OA(782, 16830, F7, 17) (dual of [16830, 16748, 18]-code) | [i] | ||