Information on Result #700639
Linear OA(2105, 127, F2, 46) (dual of [127, 22, 47]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 47
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2105, 127, F2, 45) (dual of [127, 22, 46]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2105, 127, F2, 44) (dual of [127, 22, 45]-code) | [i] | ||
| 3 | Linear OA(2107, 129, F2, 46) (dual of [129, 22, 47]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2126, 155, F2, 51) (dual of [155, 29, 52]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(2123, 152, F2, 50) (dual of [152, 29, 51]-code) | [i] | ✔ | |
| 6 | Linear OA(2119, 148, F2, 48) (dual of [148, 29, 49]-code) | [i] | ✔ | |
| 7 | Linear OA(2122, 147, F2, 50) (dual of [147, 25, 51]-code) | [i] | ✔ | |
| 8 | Linear OA(2118, 143, F2, 48) (dual of [143, 25, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(2146, 168, F2, 60) (dual of [168, 22, 61]-code) | [i] | ✔ | |
| 10 | Linear OA(2140, 162, F2, 59) (dual of [162, 22, 60]-code) | [i] | ✔ | |
| 11 | Linear OA(2137, 159, F2, 58) (dual of [159, 22, 59]-code) | [i] | ✔ | |
| 12 | Linear OA(2133, 155, F2, 56) (dual of [155, 22, 57]-code) | [i] | ✔ | |
| 13 | Linear OA(2145, 166, F2, 60) (dual of [166, 21, 61]-code) | [i] | ✔ | |
| 14 | Linear OA(2144, 164, F2, 60) (dual of [164, 20, 61]-code) | [i] | ✔ | |
| 15 | Linear OA(2136, 156, F2, 58) (dual of [156, 20, 59]-code) | [i] | ✔ | |
| 16 | Linear OA(2132, 152, F2, 56) (dual of [152, 20, 57]-code) | [i] | ✔ | |
| 17 | Linear OOA(2105, 63, F2, 2, 46) (dual of [(63, 2), 21, 47]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(2105, 42, F2, 3, 46) (dual of [(42, 3), 21, 47]-NRT-code) | [i] | ||
| 19 | Linear OOA(2105, 25, F2, 5, 46) (dual of [(25, 5), 20, 47]-NRT-code) | [i] | ||