Information on Result #1182981
Linear OOA(3100, 2391493, F3, 12, 8) (dual of [(2391493, 12), 28697816, 9]-NRT-code), using OOA stacking with additional row based on linear OOA(3100, 2391494, F3, 4, 8) (dual of [(2391494, 4), 9565876, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(32, 4, F3, 4, 2) (dual of [(4, 4), 14, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;14,3) [i]
- linear OOA(327, 1195745, F3, 4, 4) (dual of [(1195745, 4), 4782953, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(327, 1594321, F3, 4, 4) (dual of [(1594321, 4), 6377257, 5]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(327, 1594322, F3, 2, 4) (dual of [(1594322, 2), 3188617, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (23, 27, 1594322)-net over F3, using
- OOA stacking with additional row [i] based on linear OOA(327, 1594322, F3, 2, 4) (dual of [(1594322, 2), 3188617, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(327, 1594321, F3, 4, 4) (dual of [(1594321, 4), 6377257, 5]-NRT-code), using
- linear OOA(371, 1195745, F3, 4, 8) (dual of [(1195745, 4), 4782909, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(371, 4782980, F3, 8) (dual of [4782980, 4782909, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(371, 4782983, F3, 8) (dual of [4782983, 4782912, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(371, 4782969, F3, 8) (dual of [4782969, 4782898, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(357, 4782969, F3, 7) (dual of [4782969, 4782912, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 14, F3, 0) (dual of [14, 14, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(371, 4782983, F3, 8) (dual of [4782983, 4782912, 9]-code), using
- OOA 4-folding [i] based on linear OA(371, 4782980, F3, 8) (dual of [4782980, 4782909, 9]-code), using
- linear OOA(32, 4, F3, 4, 2) (dual of [(4, 4), 14, 3]-NRT-code), using
Mode: Constructive and linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (92, 100, 2391493)-net over F3 | [i] | Net Defined by OOA | |