Information on Result #1217488
Digital (134, 148, 2396774)-net over F9, using (u, u+v)-construction based on
- digital (36, 43, 1594325)-net over F9, using
- net defined by OOA [i] based on linear OOA(943, 1594325, F9, 7, 7) (dual of [(1594325, 7), 11160232, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(943, 4782976, F9, 7) (dual of [4782976, 4782933, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(943, 4782969, F9, 7) (dual of [4782969, 4782926, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(936, 4782969, F9, 6) (dual of [4782969, 4782933, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- OOA 3-folding and stacking with additional row [i] based on linear OA(943, 4782976, F9, 7) (dual of [4782976, 4782933, 8]-code), using
- net defined by OOA [i] based on linear OOA(943, 1594325, F9, 7, 7) (dual of [(1594325, 7), 11160232, 8]-NRT-code), using
- digital (91, 105, 1198387)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (1, 8, 16)-net over F9, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- digital (83, 97, 1198371)-net over F9, using
- net defined by OOA [i] based on linear OOA(997, 1198371, F9, 14, 14) (dual of [(1198371, 14), 16777097, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(997, 8388597, F9, 14) (dual of [8388597, 8388500, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(997, large, F9, 14) (dual of [large, large−97, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(997, large, F9, 14) (dual of [large, large−97, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(997, 8388597, F9, 14) (dual of [8388597, 8388500, 15]-code), using
- net defined by OOA [i] based on linear OOA(997, 1198371, F9, 14, 14) (dual of [(1198371, 14), 16777097, 15]-NRT-code), using
- digital (1, 8, 16)-net over F9, using
- (u, u+v)-construction [i] based on
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.