Information on Result #1215424
Digital (139, 154, 2571510)-net over F8, using (u, u+v)-construction based on
- digital (33, 40, 174768)-net over F8, using
- net defined by OOA [i] based on linear OOA(840, 174768, F8, 7, 7) (dual of [(174768, 7), 1223336, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(840, 524305, F8, 7) (dual of [524305, 524265, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(840, 524306, F8, 7) (dual of [524306, 524266, 8]-code), using
- trace code [i] based on linear OA(6420, 262153, F64, 7) (dual of [262153, 262133, 8]-code), using
- construction X4 applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(6419, 262145, F64, 7) (dual of [262145, 262126, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(6413, 262145, F64, 5) (dual of [262145, 262132, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(647, 8, F64, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,64)), using
- dual of repetition code with length 8 [i]
- linear OA(641, 8, F64, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, 64, F64, 1) (dual of [64, 63, 2]-code), using
- Reed–Solomon code RS(63,64) [i]
- discarding factors / shortening the dual code based on linear OA(641, 64, F64, 1) (dual of [64, 63, 2]-code), using
- construction X4 applied to C([0,3]) ⊂ C([0,2]) [i] based on
- trace code [i] based on linear OA(6420, 262153, F64, 7) (dual of [262153, 262133, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(840, 524306, F8, 7) (dual of [524306, 524266, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(840, 524305, F8, 7) (dual of [524305, 524265, 8]-code), using
- net defined by OOA [i] based on linear OOA(840, 174768, F8, 7, 7) (dual of [(174768, 7), 1223336, 8]-NRT-code), using
- digital (99, 114, 2396742)-net over F8, using
- trace code for nets [i] based on digital (42, 57, 1198371)-net over F64, using
- net defined by OOA [i] based on linear OOA(6457, 1198371, F64, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(6457, 8388598, F64, 15) (dual of [8388598, 8388541, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(6457, 8388598, F64, 15) (dual of [8388598, 8388541, 16]-code), using
- net defined by OOA [i] based on linear OOA(6457, 1198371, F64, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- trace code for nets [i] based on digital (42, 57, 1198371)-net over F64, 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.