Information on Result #2221945
Linear OA(2116, 148, F2, 42) (dual of [148, 32, 43]-code), using 1 times truncation based on linear OA(2117, 149, F2, 43) (dual of [149, 32, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(30) [i] based on
- linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(292, 128, F2, 31) (dual of [128, 36, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(218, 21, F2, 11) (dual of [21, 3, 12]-code), using
- repeating each code word 3 times [i] based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
- Simplex code S(3,2) [i]
- repeating each code word 3 times [i] based on linear OA(24, 7, F2, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), 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 OOA(2116, 74, F2, 2, 42) (dual of [(74, 2), 32, 43]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2116, 49, F2, 3, 42) (dual of [(49, 3), 31, 43]-NRT-code) | [i] | ||