Information on Result #700651
Linear OA(2112, 127, F2, 54) (dual of [127, 15, 55]-code), using the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 55
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(2112, 127, F2, 53) (dual of [127, 15, 54]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2112, 127, F2, 52) (dual of [127, 15, 53]-code) | [i] | ||
| 3 | Linear OA(2114, 129, F2, 54) (dual of [129, 15, 55]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2115, 130, F2, 54) (dual of [130, 15, 55]-code) | [i] | ||
| 5 | Linear OA(2116, 131, F2, 54) (dual of [131, 15, 55]-code) | [i] | ||
| 6 | Linear OA(2117, 132, F2, 54) (dual of [132, 15, 55]-code) | [i] | ||
| 7 | Linear OA(2149, 178, F2, 58) (dual of [178, 29, 59]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(2145, 174, F2, 56) (dual of [174, 29, 57]-code) | [i] | ✔ | |
| 9 | Linear OA(2146, 172, F2, 58) (dual of [172, 26, 59]-code) | [i] | ✔ | |
| 10 | Linear OA(2142, 168, F2, 56) (dual of [168, 26, 57]-code) | [i] | ✔ | |
| 11 | Linear OA(2146, 168, F2, 60) (dual of [168, 22, 61]-code) | [i] | ✔ | |
| 12 | Linear OA(2140, 162, F2, 59) (dual of [162, 22, 60]-code) | [i] | ✔ | |
| 13 | Linear OA(2137, 159, F2, 58) (dual of [159, 22, 59]-code) | [i] | ✔ | |
| 14 | Linear OA(2133, 155, F2, 56) (dual of [155, 22, 57]-code) | [i] | ✔ | |
| 15 | Linear OA(2145, 166, F2, 60) (dual of [166, 21, 61]-code) | [i] | ✔ | |
| 16 | Linear OA(2144, 164, F2, 60) (dual of [164, 20, 61]-code) | [i] | ✔ | |
| 17 | Linear OA(2136, 156, F2, 58) (dual of [156, 20, 59]-code) | [i] | ✔ | |
| 18 | Linear OA(2132, 152, F2, 56) (dual of [152, 20, 57]-code) | [i] | ✔ | |
| 19 | Linear OA(2150, 165, F2, 70) (dual of [165, 15, 71]-code) | [i] | ✔ | |
| 20 | Linear OA(2147, 162, F2, 68) (dual of [162, 15, 69]-code) | [i] | ✔ | |
| 21 | Linear OA(2143, 158, F2, 66) (dual of [158, 15, 67]-code) | [i] | ✔ | |
| 22 | Linear OA(2139, 154, F2, 64) (dual of [154, 15, 65]-code) | [i] | ✔ | |
| 23 | Linear OA(2149, 162, F2, 70) (dual of [162, 13, 71]-code) | [i] | ✔ | |
| 24 | Linear OA(2146, 159, F2, 68) (dual of [159, 13, 69]-code) | [i] | ✔ | |
| 25 | Linear OA(2142, 155, F2, 66) (dual of [155, 13, 67]-code) | [i] | ✔ | |
| 26 | Linear OA(2138, 151, F2, 64) (dual of [151, 13, 65]-code) | [i] | ✔ | |
| 27 | Linear OA(2134, 143, F2, 64) (dual of [143, 9, 65]-code) | [i] | ✔ | |
| 28 | Linear OOA(2112, 63, F2, 2, 54) (dual of [(63, 2), 14, 55]-NRT-code) | [i] | OOA Folding | |
| 29 | Linear OOA(2112, 42, F2, 3, 54) (dual of [(42, 3), 14, 55]-NRT-code) | [i] | ||
| 30 | Linear OOA(2112, 25, F2, 5, 54) (dual of [(25, 5), 13, 55]-NRT-code) | [i] | ||