Information on Result #905026
Linear OOA(12875, 4194601, F128, 2, 16) (dual of [(4194601, 2), 8389127, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12814, 300, F128, 2, 8) (dual of [(300, 2), 586, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1285, 150, F128, 2, 4) (dual of [(150, 2), 295, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,295P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1289, 150, F128, 2, 8) (dual of [(150, 2), 291, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,291P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OOA(1285, 150, F128, 2, 4) (dual of [(150, 2), 295, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12861, 4194301, F128, 2, 16) (dual of [(4194301, 2), 8388541, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12861, 8388602, F128, 16) (dual of [8388602, 8388541, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(12861, large, F128, 16) (dual of [large, large−61, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(12861, large, F128, 16) (dual of [large, large−61, 17]-code), using
- OOA 2-folding [i] based on linear OA(12861, 8388602, F128, 16) (dual of [8388602, 8388541, 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.