Information on Result #1709822
Digital (191, 207, 1763526)-net over F2, using net defined by OOA based on linear OOA(2207, 1763526, F2, 24, 16) (dual of [(1763526, 24), 42324417, 17]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2207, 1763527, F2, 8, 16) (dual of [(1763527, 8), 14108009, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2207, 1763527, F2, 4, 16) (dual of [(1763527, 4), 7053901, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2207, 2097190, F2, 4, 16) (dual of [(2097190, 4), 8388553, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(221, 39, F2, 4, 8) (dual of [(39, 4), 135, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 21, 39)-net over F2, using
- linear OOA(2186, 2097151, F2, 4, 16) (dual of [(2097151, 4), 8388418, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2186, 4194302, F2, 2, 16) (dual of [(4194302, 2), 8388418, 17]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2184, 4194301, F2, 2, 16) (dual of [(4194301, 2), 8388418, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2184, 8388602, F2, 16) (dual of [8388602, 8388418, 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 2-folding [i] based on linear OA(2184, 8388602, F2, 16) (dual of [8388602, 8388418, 17]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2184, 4194301, F2, 2, 16) (dual of [(4194301, 2), 8388418, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2186, 4194302, F2, 2, 16) (dual of [(4194302, 2), 8388418, 17]-NRT-code), using
- linear OOA(221, 39, F2, 4, 8) (dual of [(39, 4), 135, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2207, 2097190, F2, 4, 16) (dual of [(2097190, 4), 8388553, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2207, 1763527, F2, 4, 16) (dual of [(1763527, 4), 7053901, 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.