Information on Result #701590
Linear OA(872, 73, F8, 72) (dual of [73, 1, 73]-code or 73-arc in PG(71,8)), using the narrow-sense BCH-code C(I) with length 73 | 83−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 73
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(872, 73, F8, 71) (dual of [73, 1, 72]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(872, 73, F8, 70) (dual of [73, 1, 71]-code) | [i] | ||
| 3 | Linear OA(872, 73, F8, 69) (dual of [73, 1, 70]-code) | [i] | ||
| 4 | Linear OA(872, 73, F8, 68) (dual of [73, 1, 69]-code) | [i] | ||
| 5 | Linear OA(872, 73, F8, 67) (dual of [73, 1, 68]-code) | [i] | ||
| 6 | Linear OA(872, 73, F8, 66) (dual of [73, 1, 67]-code) | [i] | ||
| 7 | Linear OA(872, 73, F8, 65) (dual of [73, 1, 66]-code) | [i] | ||
| 8 | Linear OA(8118, 161, F8, 72) (dual of [161, 43, 73]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(8132, 223, F8, 72) (dual of [223, 91, 73]-code) | [i] | ||
| 10 | Linear OA(8135, 240, F8, 72) (dual of [240, 105, 73]-code) | [i] | ||
| 11 | Linear OA(8136, 246, F8, 72) (dual of [246, 110, 73]-code) | [i] | ||
| 12 | Linear OA(8144, 301, F8, 72) (dual of [301, 157, 73]-code) | [i] | ||
| 13 | Linear OA(8151, 361, F8, 72) (dual of [361, 210, 73]-code) | [i] | ||
| 14 | Linear OA(8169, 586, F8, 72) (dual of [586, 417, 73]-code) | [i] | ||
| 15 | Linear OA(893, 100, F8, 72) (dual of [100, 7, 73]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 16 | Linear OA(890, 97, F8, 70) (dual of [97, 7, 71]-code) | [i] | ✔ | |
| 17 | Linear OA(883, 90, F8, 64) (dual of [90, 7, 65]-code) | [i] | ✔ | |
| 18 | Linear OA(887, 97, F8, 61) (dual of [97, 10, 62]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 19 | Linear OA(882, 92, F8, 57) (dual of [92, 10, 58]-code) | [i] | ✔ | |