Information on Result #674092
Linear OA(299, 127, F2, 43) (dual of [127, 28, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2210, 222, F2, 87) (dual of [222, 12, 88]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(2209, 220, F2, 87) (dual of [220, 11, 88]-code) | [i] | ||
| 3 | Linear OA(2208, 218, F2, 87) (dual of [218, 10, 88]-code) | [i] | ||
| 4 | Linear OA(2100, 142, F2, 33) (dual of [142, 42, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(2120, 159, F2, 43) (dual of [159, 39, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(2123, 165, F2, 43) (dual of [165, 42, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(2119, 159, F2, 41) (dual of [159, 40, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(2120, 162, F2, 41) (dual of [162, 42, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(2111, 151, F2, 39) (dual of [151, 40, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(2114, 155, F2, 39) (dual of [155, 41, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(2115, 157, F2, 39) (dual of [157, 42, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(2108, 145, F2, 37) (dual of [145, 37, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(2110, 152, F2, 37) (dual of [152, 42, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(2104, 143, F2, 35) (dual of [143, 39, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(2105, 147, F2, 35) (dual of [147, 42, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(2109, 151, F2, 37) (dual of [151, 42, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(2127, 162, F2, 45) (dual of [162, 35, 46]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 18 | Linear OA(2126, 159, F2, 45) (dual of [159, 33, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(2123, 151, F2, 51) (dual of [151, 28, 52]-code) | [i] | ✔ | |
| 20 | Linear OA(2119, 147, F2, 49) (dual of [147, 28, 50]-code) | [i] | ✔ | |
| 21 | Linear OA(2122, 147, F2, 51) (dual of [147, 25, 52]-code) | [i] | ✔ | |
| 22 | Linear OA(2118, 143, F2, 49) (dual of [143, 25, 50]-code) | [i] | ✔ | |
| 23 | Linear OA(2145, 173, F2, 57) (dual of [173, 28, 58]-code) | [i] | ✔ | |
| 24 | Linear OA(2146, 171, F2, 59) (dual of [171, 25, 60]-code) | [i] | ✔ | |
| 25 | Linear OA(2142, 167, F2, 57) (dual of [167, 25, 58]-code) | [i] | ✔ | |
| 26 | Linear OOA(299, 42, F2, 3, 43) (dual of [(42, 3), 27, 44]-NRT-code) | [i] | OOA Folding | |
| 27 | Linear OOA(299, 25, F2, 5, 43) (dual of [(25, 5), 26, 44]-NRT-code) | [i] | ||