Information on Result #1081143
Linear OOA(3190, 2628595, F3, 4, 14) (dual of [(2628595, 4), 10514190, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(354, 531445, F3, 4, 7) (dual of [(531445, 4), 2125726, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(354, 1594336, F3, 7) (dual of [1594336, 1594282, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(354, 1594337, F3, 7) (dual of [1594337, 1594283, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(353, 1594323, F3, 7) (dual of [1594323, 1594270, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(340, 1594323, F3, 5) (dual of [1594323, 1594283, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(354, 1594337, F3, 7) (dual of [1594337, 1594283, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(354, 1594336, F3, 7) (dual of [1594336, 1594282, 8]-code), using
- linear OOA(3136, 2097150, F3, 4, 14) (dual of [(2097150, 4), 8388464, 15]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- OOA 4-folding [i] based on linear OA(3136, 8388600, F3, 14) (dual of [8388600, 8388464, 15]-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(3190, 1314297, F3, 20, 14) (dual of [(1314297, 20), 26285750, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |