Information on Result #1117291
Linear OOA(3176, 3272043, F3, 5, 12) (dual of [(3272043, 5), 16360039, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(356, 1594323, F3, 5, 6) (dual of [(1594323, 5), 7971559, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(356, 4782969, F3, 6) (dual of [4782969, 4782913, 7]-code), using
- 1 times truncation [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(357, 4782970, F3, 7) (dual of [4782970, 4782913, 8]-code), using
- OA 3-folding and stacking [i] based on linear OA(356, 4782969, F3, 6) (dual of [4782969, 4782913, 7]-code), using
- linear OOA(3120, 1677720, F3, 5, 12) (dual of [(1677720, 5), 8388480, 13]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3120, 8388600, F3, 12) (dual of [8388600, 8388480, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- OOA 5-folding [i] based on linear OA(3120, 8388600, F3, 12) (dual of [8388600, 8388480, 13]-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, 6068244, F3, 5, 12) (dual of [(6068244, 5), 30340984, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3239, 6068248, F3, 5, 12) (dual of [(6068248, 5), 30341001, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3240, 6068254, F3, 5, 12) (dual of [(6068254, 5), 30341030, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3241, 6068264, F3, 5, 12) (dual of [(6068264, 5), 30341079, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(3242, 6068300, F3, 5, 12) (dual of [(6068300, 5), 30341258, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(3243, 6068356, F3, 5, 12) (dual of [(6068356, 5), 30341537, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(3244, 6068492, F3, 5, 12) (dual of [(6068492, 5), 30342216, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(3245, 6068776, F3, 5, 12) (dual of [(6068776, 5), 30343635, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(3246, 6069460, F3, 5, 12) (dual of [(6069460, 5), 30347054, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(3247, 6070988, F3, 5, 12) (dual of [(6070988, 5), 30354693, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(3248, 6460692, F3, 5, 12) (dual of [(6460692, 5), 32303212, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(3250, 6460698, F3, 5, 12) (dual of [(6460698, 5), 32303240, 13]-NRT-code) | [i] | ||