Information on Result #1598009
Linear OOA(2231, 846, F2, 4, 42) (dual of [(846, 4), 3153, 43]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2231, 846, F2, 2, 42) (dual of [(846, 2), 1461, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2231, 1023, F2, 2, 42) (dual of [(1023, 2), 1815, 43]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2231, 2046, F2, 42) (dual of [2046, 1815, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, 2047, F2, 42) (dual of [2047, 1816, 43]-code), using
- 1 times truncation [i] based on linear OA(2232, 2048, F2, 43) (dual of [2048, 1816, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- 1 times truncation [i] based on linear OA(2232, 2048, F2, 43) (dual of [2048, 1816, 44]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, 2047, F2, 42) (dual of [2047, 1816, 43]-code), using
- OOA 2-folding [i] based on linear OA(2231, 2046, F2, 42) (dual of [2046, 1815, 43]-code), using
Mode: 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2231, 423, F2, 7, 42) (dual of [(423, 7), 2730, 43]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2231, 423, F2, 8, 42) (dual of [(423, 8), 3153, 43]-NRT-code) | [i] | ||