Information on Result #1709790
Digital (173, 189, 1566477)-net over F2, using net defined by OOA based on linear OOA(2189, 1566477, F2, 24, 16) (dual of [(1566477, 24), 37595259, 17]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2189, 1566478, F2, 8, 16) (dual of [(1566478, 8), 12531635, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2189, 1566478, F2, 5, 16) (dual of [(1566478, 5), 7832201, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2189, 1677721, F2, 5, 16) (dual of [(1677721, 5), 8388416, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2184, 1677720, F2, 5, 16) (dual of [(1677720, 5), 8388416, 17]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2184, 8388600, F2, 16) (dual of [8388600, 8388416, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- OOA 5-folding [i] based on linear OA(2184, 8388600, F2, 16) (dual of [8388600, 8388416, 17]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2184, 1677720, F2, 5, 16) (dual of [(1677720, 5), 8388416, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2189, 1677721, F2, 5, 16) (dual of [(1677721, 5), 8388416, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2189, 1566478, F2, 5, 16) (dual of [(1566478, 5), 7832201, 17]-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.