Information on Result #1691724
Linear OOA(2187, 366, F2, 8, 34) (dual of [(366, 8), 2741, 35]-NRT-code), using OOA 2-folding based on linear OOA(2187, 732, F2, 4, 34) (dual of [(732, 4), 2741, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2187, 733, F2, 4, 34) (dual of [(733, 4), 2745, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2187, 733, F2, 2, 34) (dual of [(733, 2), 1279, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2187, 1023, F2, 2, 34) (dual of [(1023, 2), 1859, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2187, 2046, F2, 34) (dual of [2046, 1859, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(2187, 2047, F2, 34) (dual of [2047, 1860, 35]-code), using
- 1 times truncation [i] based on linear OA(2188, 2048, F2, 35) (dual of [2048, 1860, 36]-code), using
- an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- 1 times truncation [i] based on linear OA(2188, 2048, F2, 35) (dual of [2048, 1860, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(2187, 2047, F2, 34) (dual of [2047, 1860, 35]-code), using
- OOA 2-folding [i] based on linear OA(2187, 2046, F2, 34) (dual of [2046, 1859, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(2187, 1023, F2, 2, 34) (dual of [(1023, 2), 1859, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2187, 733, F2, 2, 34) (dual of [(733, 2), 1279, 35]-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.