Information on Result #1117740
Linear OOA(3232, 2076304, F3, 5, 17) (dual of [(2076304, 5), 10381288, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(366, 398584, F3, 5, 8) (dual of [(398584, 5), 1992854, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(366, 1594336, F3, 8) (dual of [1594336, 1594270, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(366, 1594323, F3, 8) (dual of [1594323, 1594257, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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(30, 13, F3, 0) (dual of [13, 13, 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
- OA 4-folding and stacking [i] based on linear OA(366, 1594336, F3, 8) (dual of [1594336, 1594270, 9]-code), using
- linear OOA(3166, 1677720, F3, 5, 17) (dual of [(1677720, 5), 8388434, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- OOA 5-folding [i] based on linear OA(3166, 8388600, F3, 17) (dual of [8388600, 8388434, 18]-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(3233, 2076304, F3, 5, 17) (dual of [(2076304, 5), 10381287, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3234, 2076304, F3, 5, 17) (dual of [(2076304, 5), 10381286, 18]-NRT-code) | [i] | ||