Information on Result #1213715
Digital (58, 75, 401)-net over F5, using (u, u+v)-construction based on
- digital (1, 9, 10)-net over F5, using
- net from sequence [i] based on digital (1, 9)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- net from sequence [i] based on digital (1, 9)-sequence over F5, using
- digital (49, 66, 391)-net over F5, using
- net defined by OOA [i] based on linear OOA(566, 391, F5, 17, 17) (dual of [(391, 17), 6581, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(566, 3129, F5, 17) (dual of [3129, 3063, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(566, 3130, F5, 17) (dual of [3130, 3064, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 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(566, 3130, F5, 17) (dual of [3130, 3064, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(566, 3129, F5, 17) (dual of [3129, 3063, 18]-code), using
- net defined by OOA [i] based on linear OOA(566, 391, F5, 17, 17) (dual of [(391, 17), 6581, 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.