Information on Result #1690397
Linear OOA(2104, 3604518, F2, 8, 8) (dual of [(3604518, 8), 28836040, 9]-NRT-code), using OOA stacking with additional row based on linear OOA(2104, 3604519, F2, 4, 8) (dual of [(3604519, 4), 14417972, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2104, 3604519, F2, 2, 8) (dual of [(3604519, 2), 7208934, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2104, 4194366, F2, 2, 8) (dual of [(4194366, 2), 8388628, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(212, 65, F2, 2, 4) (dual of [(65, 2), 118, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 12, 65)-net over F2, using
- linear OOA(292, 4194301, F2, 2, 8) (dual of [(4194301, 2), 8388510, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(292, 8388602, F2, 8) (dual of [8388602, 8388510, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
- OOA 2-folding [i] based on linear OA(292, 8388602, F2, 8) (dual of [8388602, 8388510, 9]-code), using
- linear OOA(212, 65, F2, 2, 4) (dual of [(65, 2), 118, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2104, 4194366, F2, 2, 8) (dual of [(4194366, 2), 8388628, 9]-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.
Other Results with Identical Parameters
None.
Depending Results
None.