Information on Result #1013207
Linear OOA(589, 130225, F5, 3, 13) (dual of [(130225, 3), 390586, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(58, 14, F5, 3, 6) (dual of [(14, 3), 34, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 8, 14)-net over F5, using
- linear OOA(581, 130211, F5, 3, 13) (dual of [(130211, 3), 390552, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(581, 390633, F5, 13) (dual of [390633, 390552, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(581, 390625, F5, 13) (dual of [390625, 390544, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(573, 390625, F5, 12) (dual of [390625, 390552, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 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(12) ⊂ Ce(11) [i] based on
- OOA 3-folding [i] based on linear OA(581, 390633, F5, 13) (dual of [390633, 390552, 14]-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(589, 65112, F5, 15, 13) (dual of [(65112, 15), 976591, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |