Information on Result #674105
Linear OA(278, 127, F2, 27) (dual of [127, 49, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28
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(289, 135, F2, 31) (dual of [135, 46, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(290, 139, F2, 31) (dual of [139, 49, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(291, 147, F2, 29) (dual of [147, 56, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(290, 143, F2, 29) (dual of [143, 53, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(296, 147, F2, 31) (dual of [147, 51, 32]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 6 | Linear OA(294, 144, F2, 31) (dual of [144, 50, 32]-code) | [i] | ✔ | |
| 7 | Linear OOA(278, 42, F2, 3, 27) (dual of [(42, 3), 48, 28]-NRT-code) | [i] | OOA Folding | |