Information on Result #1674689
Linear OOA(2144, 314, F2, 7, 27) (dual of [(314, 7), 2054, 28]-NRT-code), using OOA 2-folding based on linear OOA(2144, 628, F2, 4, 27) (dual of [(628, 4), 2368, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2144, 628, F2, 3, 27) (dual of [(628, 3), 1740, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2144, 682, F2, 3, 27) (dual of [(682, 3), 1902, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2144, 2046, F2, 27) (dual of [2046, 1902, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2144, 2048, F2, 27) (dual of [2048, 1904, 28]-code), using
- an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- discarding factors / shortening the dual code based on linear OA(2144, 2048, F2, 27) (dual of [2048, 1904, 28]-code), using
- OOA 3-folding [i] based on linear OA(2144, 2046, F2, 27) (dual of [2046, 1902, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(2144, 682, F2, 3, 27) (dual of [(682, 3), 1902, 28]-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.