Information on Result #629427
Linear OA(2178, 192, F2, 87) (dual of [192, 14, 88]-code), using concatenation of two codes based on
- linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(2177, 191, F2, 86) (dual of [191, 14, 87]-code) | [i] | Truncation | |
| 2 | Linear OA(2192, 206, F2, 88) (dual of [206, 14, 89]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(2197, 211, F2, 90) (dual of [211, 14, 91]-code) | [i] | ||
| 4 | Linear OA(2202, 216, F2, 92) (dual of [216, 14, 93]-code) | [i] | ||
| 5 | Linear OA(2207, 221, F2, 94) (dual of [221, 14, 95]-code) | [i] | ||
| 6 | Linear OA(2212, 226, F2, 96) (dual of [226, 14, 97]-code) | [i] | ||
| 7 | Linear OA(2215, 229, F2, 98) (dual of [229, 14, 99]-code) | [i] | ||
| 8 | Linear OA(2220, 234, F2, 100) (dual of [234, 14, 101]-code) | [i] | ||
| 9 | Linear OA(2191, 204, F2, 88) (dual of [204, 13, 89]-code) | [i] | ||
| 10 | Linear OA(2196, 209, F2, 90) (dual of [209, 13, 91]-code) | [i] | ||
| 11 | Linear OA(2201, 214, F2, 92) (dual of [214, 13, 93]-code) | [i] | ||
| 12 | Linear OA(2206, 219, F2, 94) (dual of [219, 13, 95]-code) | [i] | ||
| 13 | Linear OA(2211, 224, F2, 96) (dual of [224, 13, 97]-code) | [i] | ||
| 14 | Linear OA(2214, 227, F2, 98) (dual of [227, 13, 99]-code) | [i] | ||
| 15 | Linear OA(2219, 232, F2, 100) (dual of [232, 13, 101]-code) | [i] | ||
| 16 | Linear OA(2205, 218, F2, 94) (dual of [218, 13, 95]-code) | [i] | ||
| 17 | Linear OA(291, 104, F2, 43) (dual of [104, 13, 44]-code) | [i] | Residual Code | |
| 18 | Linear OOA(2178, 96, F2, 2, 87) (dual of [(96, 2), 14, 88]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(2178, 64, F2, 3, 87) (dual of [(64, 3), 14, 88]-NRT-code) | [i] | ||
| 20 | Linear OOA(2178, 38, F2, 5, 87) (dual of [(38, 5), 12, 88]-NRT-code) | [i] | ||