Information on Result #1196448
Digital (42, 58, 1969)-net over F25, using net defined by OOA based on linear OOA(2558, 1969, F25, 18, 16) (dual of [(1969, 18), 35384, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2558, 7877, F25, 2, 16) (dual of [(7877, 2), 15696, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2558, 7880, F25, 2, 16) (dual of [(7880, 2), 15702, 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(2546, 7814, F25, 2, 16) (dual of [(7814, 2), 15582, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2546, 15628, F25, 16) (dual of [15628, 15582, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(2546, 15625, F25, 16) (dual of [15625, 15579, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2543, 15625, F25, 15) (dual of [15625, 15582, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 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
- OOA 2-folding [i] based on linear OA(2546, 15628, F25, 16) (dual of [15628, 15582, 17]-code), using
- linear OOA(2512, 66, F25, 2, 8) (dual of [(66, 2), 120, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2558, 7880, F25, 2, 16) (dual of [(7880, 2), 15702, 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.