Information on Result #1159830
Linear OOA(2193, 1198376, F2, 7, 16) (dual of [(1198376, 7), 8388439, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(29, 5, F2, 7, 8) (dual of [(5, 7), 26, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,26P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2184, 1198371, F2, 7, 16) (dual of [(1198371, 7), 8388413, 17]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2184, 8388597, F2, 16) (dual of [8388597, 8388413, 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 7-folding [i] based on linear OA(2184, 8388597, F2, 16) (dual of [8388597, 8388413, 17]-code), using
Mode: Constructive and 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.