Information on Result #1711070
Digital (117, 144, 313)-net over F2, using net defined by OOA based on linear OOA(2144, 313, F2, 35, 27) (dual of [(313, 35), 10811, 28]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2144, 627, F2, 7, 27) (dual of [(627, 7), 4245, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2144, 628, F2, 7, 27) (dual of [(628, 7), 4252, 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
- 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, 628, F2, 7, 27) (dual of [(628, 7), 4252, 28]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.