Information on Result #1196470
Digital (56, 72, 48841)-net over F25, using net defined by OOA based on linear OOA(2572, 48841, F25, 18, 16) (dual of [(48841, 18), 879066, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2572, 195365, F25, 2, 16) (dual of [(195365, 2), 390658, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2572, 195366, F25, 2, 16) (dual of [(195366, 2), 390660, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2511, 52, F25, 2, 8) (dual of [(52, 2), 93, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,95P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2561, 195314, F25, 2, 16) (dual of [(195314, 2), 390567, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2561, 390628, F25, 16) (dual of [390628, 390567, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, 390629, F25, 16) (dual of [390629, 390568, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2557, 390625, F25, 15) (dual of [390625, 390568, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(2561, 390629, F25, 16) (dual of [390629, 390568, 17]-code), using
- OOA 2-folding [i] based on linear OA(2561, 390628, F25, 16) (dual of [390628, 390567, 17]-code), using
- linear OOA(2511, 52, F25, 2, 8) (dual of [(52, 2), 93, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2572, 195366, F25, 2, 16) (dual of [(195366, 2), 390660, 17]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.