Information on Result #1192166
Digital (153, 171, 1864591)-net over F8, using net defined by OOA based on linear OOA(8171, 1864591, F8, 21, 18) (dual of [(1864591, 21), 39156240, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8171, 5593774, F8, 3, 18) (dual of [(5593774, 3), 16781151, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8171, 5593776, F8, 3, 18) (dual of [(5593776, 3), 16781157, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(833, 1374, F8, 3, 9) (dual of [(1374, 3), 4089, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(84, 9, F8, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;23,8) [i]
- linear OOA(829, 1365, F8, 3, 9) (dual of [(1365, 3), 4066, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(829, 4095, F8, 9) (dual of [4095, 4066, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using
- OOA 3-folding [i] based on linear OA(829, 4095, F8, 9) (dual of [4095, 4066, 10]-code), using
- linear OOA(84, 9, F8, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8138, 5592402, F8, 3, 18) (dual of [(5592402, 3), 16777068, 19]-NRT-code), using
- trace code [i] based on linear OOA(6469, 2796201, F64, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- trace code [i] based on linear OOA(6469, 2796201, F64, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- linear OOA(833, 1374, F8, 3, 9) (dual of [(1374, 3), 4089, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8171, 5593776, F8, 3, 18) (dual of [(5593776, 3), 16781157, 19]-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.