Information on Result #1657927
Linear OOA(2231, 423, F2, 6, 42) (dual of [(423, 6), 2307, 43]-NRT-code), using OOA 2-folding based on linear OOA(2231, 846, F2, 3, 42) (dual of [(846, 3), 2307, 43]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] 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
- discarding factors / shortening the dual code based on linear OOA(2231, 1023, F2, 2, 42) (dual of [(1023, 2), 1815, 43]-NRT-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
None.