Information on Result #1221310
Digital (42, 58, 2019)-net over F25, using (u, u+v)-construction based on
- digital (4, 12, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- digital (30, 46, 1953)-net over F25, using
- net defined by OOA [i] based on linear OOA(2546, 1953, F25, 16, 16) (dual of [(1953, 16), 31202, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(2546, 15624, F25, 16) (dual of [15624, 15578, 17]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(2546, 15625, F25, 16) (dual of [15625, 15579, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(2546, 15624, F25, 16) (dual of [15624, 15578, 17]-code), using
- net defined by OOA [i] based on linear OOA(2546, 1953, F25, 16, 16) (dual of [(1953, 16), 31202, 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.