Information on Result #700490
Linear OA(230, 31, F2, 30) (dual of [31, 1, 31]-code or 31-arc in PG(29,2)), using the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 31
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(230, 31, F2, 29) (dual of [31, 1, 30]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(230, 31, F2, 28) (dual of [31, 1, 29]-code) | [i] | ||
| 3 | Linear OA(230, 31, F2, 27) (dual of [31, 1, 28]-code) | [i] | ||
| 4 | Linear OA(230, 31, F2, 26) (dual of [31, 1, 27]-code) | [i] | ||
| 5 | Linear OA(230, 31, F2, 25) (dual of [31, 1, 26]-code) | [i] | ||
| 6 | Linear OA(230, 31, F2, 24) (dual of [31, 1, 25]-code) | [i] | ||
| 7 | Linear OA(230, 31, F2, 23) (dual of [31, 1, 24]-code) | [i] | ||
| 8 | Linear OA(230, 31, F2, 22) (dual of [31, 1, 23]-code) | [i] | ||
| 9 | Linear OA(230, 31, F2, 21) (dual of [31, 1, 22]-code) | [i] | ||
| 10 | Linear OA(240, 51, F2, 18) (dual of [51, 11, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(236, 47, F2, 16) (dual of [47, 11, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(239, 49, F2, 18) (dual of [49, 10, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(235, 45, F2, 16) (dual of [45, 10, 17]-code) | [i] | ✔ | |