Information on Result #1010628
Linear OOA(3155, 3188692, F3, 3, 12) (dual of [(3188692, 3), 9565921, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(313, 42, F3, 3, 6) (dual of [(42, 3), 113, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(3142, 3188650, F3, 3, 12) (dual of [(3188650, 3), 9565808, 13]-NRT-code), using
- trace code [i] based on linear OOA(971, 1594325, F9, 3, 12) (dual of [(1594325, 3), 4782904, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(971, 4782975, F9, 12) (dual of [4782975, 4782904, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(971, 4782976, F9, 12) (dual of [4782976, 4782905, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(971, 4782976, F9, 12) (dual of [4782976, 4782905, 13]-code), using
- OOA 3-folding [i] based on linear OA(971, 4782975, F9, 12) (dual of [4782975, 4782904, 13]-code), using
- trace code [i] based on linear OOA(971, 1594325, F9, 3, 12) (dual of [(1594325, 3), 4782904, 13]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3156, 3188692, F3, 3, 12) (dual of [(3188692, 3), 9565920, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3155, 1594345, F3, 15, 12) (dual of [(1594345, 15), 23915020, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |