Information on Result #1710646
Digital (99, 122, 290)-net over F2, using net defined by OOA based on linear OOA(2122, 290, F2, 30, 23) (dual of [(290, 30), 8578, 24]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2122, 581, F2, 6, 23) (dual of [(581, 6), 3364, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2122, 582, F2, 6, 23) (dual of [(582, 6), 3370, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2122, 582, F2, 3, 23) (dual of [(582, 3), 1624, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2122, 682, F2, 3, 23) (dual of [(682, 3), 1924, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2122, 2046, F2, 23) (dual of [2046, 1924, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2122, 2048, F2, 23) (dual of [2048, 1926, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(2122, 2048, F2, 23) (dual of [2048, 1926, 24]-code), using
- OOA 3-folding [i] based on linear OA(2122, 2046, F2, 23) (dual of [2046, 1924, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(2122, 682, F2, 3, 23) (dual of [(682, 3), 1924, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2122, 582, F2, 3, 23) (dual of [(582, 3), 1624, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2122, 582, F2, 6, 23) (dual of [(582, 6), 3370, 24]-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.