Information on Result #895214
Linear OOA(3236, 4991477, F3, 2, 17) (dual of [(4991477, 2), 9982718, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(370, 797176, F3, 2, 8) (dual of [(797176, 2), 1594282, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(370, 1594352, F3, 8) (dual of [1594352, 1594282, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(370, 1594353, F3, 8) (dual of [1594353, 1594283, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [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(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(34, 30, F3, 2) (dual of [30, 26, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(370, 1594353, F3, 8) (dual of [1594353, 1594283, 9]-code), using
- OOA 2-folding [i] based on linear OA(370, 1594352, F3, 8) (dual of [1594352, 1594282, 9]-code), using
- linear OOA(3166, 4194301, F3, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 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 2-folding [i] based on linear OA(3166, 8388602, F3, 17) (dual of [8388602, 8388436, 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(3236, 2495738, F3, 4, 17) (dual of [(2495738, 4), 9982716, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3236, 1247869, F3, 18, 17) (dual of [(1247869, 18), 22461406, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |