Information on Result #1217280
Digital (90, 100, 3355472)-net over F9, using (u, u+v)-construction based on
- digital (24, 29, 2391487)-net over F9, using
- net defined by OOA [i] based on linear OOA(929, 2391487, F9, 5, 5) (dual of [(2391487, 5), 11957406, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(929, 4782975, F9, 5) (dual of [4782975, 4782946, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(929, 4782976, F9, 5) (dual of [4782976, 4782947, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(929, 4782969, F9, 5) (dual of [4782969, 4782940, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(922, 4782969, F9, 4) (dual of [4782969, 4782947, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(4) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(929, 4782976, F9, 5) (dual of [4782976, 4782947, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(929, 4782975, F9, 5) (dual of [4782975, 4782946, 6]-code), using
- net defined by OOA [i] based on linear OOA(929, 2391487, F9, 5, 5) (dual of [(2391487, 5), 11957406, 6]-NRT-code), using
- digital (61, 71, 1677736)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (1, 6, 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 (55, 65, 1677720)-net over F9, using
- net defined by OOA [i] based on linear OOA(965, 1677720, F9, 10, 10) (dual of [(1677720, 10), 16777135, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(965, 8388600, F9, 10) (dual of [8388600, 8388535, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(965, 8388600, F9, 10) (dual of [8388600, 8388535, 11]-code), using
- net defined by OOA [i] based on linear OOA(965, 1677720, F9, 10, 10) (dual of [(1677720, 10), 16777135, 11]-NRT-code), using
- digital (1, 6, 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.