Information on Result #1117867
Linear OOA(3246, 1679034, F3, 5, 20) (dual of [(1679034, 5), 8394924, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(350, 1314, F3, 5, 10) (dual of [(1314, 5), 6520, 11]-NRT-code), using
- OOA 5-folding [i] based on linear OA(350, 6570, F3, 10) (dual of [6570, 6520, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(31, 9, F3, 1) (dual of [9, 8, 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(9) ⊂ Ce(7) [i] based on
- OOA 5-folding [i] based on linear OA(350, 6570, F3, 10) (dual of [6570, 6520, 11]-code), using
- linear OOA(3196, 1677720, F3, 5, 20) (dual of [(1677720, 5), 8388404, 21]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- OOA 5-folding [i] based on linear OA(3196, 8388600, F3, 20) (dual of [8388600, 8388404, 21]-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(3247, 1679034, F3, 5, 20) (dual of [(1679034, 5), 8394923, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3248, 1679034, F3, 5, 20) (dual of [(1679034, 5), 8394922, 21]-NRT-code) | [i] | ||