Information on Result #700632
Linear OA(2106, 127, F2, 47) (dual of [127, 21, 48]-code), using the primitive cyclic code C(A) with length 127 = 27−1, defining set A = {0,1,3,5,7,9,11,13,15,19,21,23,27,29,31,63}, and minimum distance d ≥ |{−4,−3,…,42}|+1 = 48 (BCH-bound)
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(2126, 160, F2, 44) (dual of [160, 34, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2123, 154, F2, 44) (dual of [154, 31, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(2127, 162, F2, 45) (dual of [162, 35, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(2126, 159, F2, 45) (dual of [159, 33, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(2126, 155, F2, 51) (dual of [155, 29, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(2123, 152, F2, 50) (dual of [152, 29, 51]-code) | [i] | ✔ | |
| 7 | Linear OA(2119, 148, F2, 48) (dual of [148, 29, 49]-code) | [i] | ✔ | |
| 8 | Linear OA(2122, 147, F2, 50) (dual of [147, 25, 51]-code) | [i] | ✔ | |
| 9 | Linear OA(2118, 143, F2, 48) (dual of [143, 25, 49]-code) | [i] | ✔ | |
| 10 | Linear OA(2123, 151, F2, 51) (dual of [151, 28, 52]-code) | [i] | ✔ | |
| 11 | Linear OA(2119, 147, F2, 49) (dual of [147, 28, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(2122, 147, F2, 51) (dual of [147, 25, 52]-code) | [i] | ✔ | |
| 13 | Linear OA(2118, 143, F2, 49) (dual of [143, 25, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(2149, 178, F2, 58) (dual of [178, 29, 59]-code) | [i] | ✔ | |
| 15 | Linear OA(2145, 174, F2, 56) (dual of [174, 29, 57]-code) | [i] | ✔ | |
| 16 | Linear OA(2146, 172, F2, 58) (dual of [172, 26, 59]-code) | [i] | ✔ | |
| 17 | Linear OA(2142, 168, F2, 56) (dual of [168, 26, 57]-code) | [i] | ✔ | |
| 18 | Linear OA(2145, 173, F2, 57) (dual of [173, 28, 58]-code) | [i] | ✔ | |
| 19 | Linear OA(2146, 171, F2, 59) (dual of [171, 25, 60]-code) | [i] | ✔ | |
| 20 | Linear OA(2142, 167, F2, 57) (dual of [167, 25, 58]-code) | [i] | ✔ | |
| 21 | Linear OOA(2106, 42, F2, 3, 47) (dual of [(42, 3), 20, 48]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(2106, 25, F2, 5, 47) (dual of [(25, 5), 19, 48]-NRT-code) | [i] | ||