Information on Result #1228275
Digital (29, 45, 2434)-net over F128, using (u, u+v)-construction based on
- digital (6, 14, 386)-net over F128, using
- net defined by OOA [i] based on linear OOA(12814, 386, F128, 12, 8) (dual of [(386, 12), 4618, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(12814, 387, F128, 4, 8) (dual of [(387, 4), 1534, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;514,128) [i]
- linear OOA(1284, 129, F128, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;512,128) [i]
- linear OOA(1288, 129, F128, 4, 8) (dual of [(129, 4), 508, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;508,128) [i]
- linear OOA(1282, 129, F128, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(12814, 387, F128, 4, 8) (dual of [(387, 4), 1534, 9]-NRT-code), using
- net defined by OOA [i] based on linear OOA(12814, 386, F128, 12, 8) (dual of [(386, 12), 4618, 9]-NRT-code), using
- digital (15, 31, 2048)-net over F128, using
- net defined by OOA [i] based on linear OOA(12831, 2048, F128, 16, 16) (dual of [(2048, 16), 32737, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OA 8-folding and stacking [i] based on linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using
- net defined by OOA [i] based on linear OOA(12831, 2048, F128, 16, 16) (dual of [(2048, 16), 32737, 17]-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.