Information on Result #896093
Linear OOA(555, 39078, F5, 2, 9) (dual of [(39078, 2), 78101, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(55, 12, F5, 2, 4) (dual of [(12, 2), 19, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 12)-net over F5, using
- linear OOA(550, 39066, F5, 2, 9) (dual of [(39066, 2), 78082, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(550, 78132, F5, 9) (dual of [78132, 78082, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(550, 78125, F5, 9) (dual of [78125, 78075, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(543, 78125, F5, 8) (dual of [78125, 78082, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(50, 7, F5, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(550, 78132, F5, 9) (dual of [78132, 78082, 10]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(555, 19538, F5, 10, 9) (dual of [(19538, 10), 195325, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |