Information on Result #1213736
Digital (112, 129, 244157)-net over F5, using (u, u+v)-construction based on
- digital (3, 11, 16)-net over F5, using
- net from sequence [i] based on digital (3, 15)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- net from sequence [i] based on digital (3, 15)-sequence over F5, using
- digital (101, 118, 244141)-net over F5, using
- net defined by OOA [i] based on linear OOA(5118, 244141, F5, 17, 17) (dual of [(244141, 17), 4150279, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(5118, 1953129, F5, 17) (dual of [1953129, 1953011, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(5118, 1953134, F5, 17) (dual of [1953134, 1953016, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(5118, 1953125, F5, 17) (dual of [1953125, 1953007, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(5109, 1953125, F5, 16) (dual of [1953125, 1953016, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(5118, 1953134, F5, 17) (dual of [1953134, 1953016, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(5118, 1953129, F5, 17) (dual of [1953129, 1953011, 18]-code), using
- net defined by OOA [i] based on linear OOA(5118, 244141, F5, 17, 17) (dual of [(244141, 17), 4150279, 18]-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.