Information on Result #2517912
Linear OOA(2589, 4194367, F25, 2, 16) (dual of [(4194367, 2), 8388645, 17]-NRT-code), using 251 times duplication based on linear OOA(2588, 4194367, F25, 2, 16) (dual of [(4194367, 2), 8388646, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2512, 66, F25, 2, 8) (dual of [(66, 2), 120, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,123P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2576, 4194301, F25, 2, 16) (dual of [(4194301, 2), 8388526, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2576, 8388602, F25, 16) (dual of [8388602, 8388526, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2576, large, F25, 16) (dual of [large, large−76, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2576, large, F25, 16) (dual of [large, large−76, 17]-code), using
- OOA 2-folding [i] based on linear OA(2576, 8388602, F25, 16) (dual of [8388602, 8388526, 17]-code), using
- linear OOA(2512, 66, F25, 2, 8) (dual of [(66, 2), 120, 9]-NRT-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.