Information on Result #1119478
Linear OOA(3100, 2391494, F3, 5, 8) (dual of [(2391494, 5), 11957370, 9]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(32, 4, F3, 5, 2) (dual of [(4, 5), 18, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;18,3) [i]
- linear OOA(327, 1195745, F3, 5, 4) (dual of [(1195745, 5), 5978698, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(327, 1594321, F3, 5, 4) (dual of [(1594321, 5), 7971578, 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, 5, 4) (dual of [(1594321, 5), 7971578, 5]-NRT-code), using
- linear OOA(371, 1195745, F3, 5, 8) (dual of [(1195745, 5), 5978654, 9]-NRT-code), using
- OA 4-folding and stacking [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
- OA 4-folding and stacking [i] based on linear OA(371, 4782980, F3, 8) (dual of [4782980, 4782909, 9]-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.
Other Results with Identical Parameters
None.
Depending Results
None.