Information on Result #812951
Linear OOA(3120, 4194301, F3, 2, 12) (dual of [(4194301, 2), 8388482, 13]-NRT-code), using OOA 2-folding based on linear OA(3120, 8388602, F3, 12) (dual of [8388602, 8388482, 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]
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(3122, 4194302, F3, 2, 12) (dual of [(4194302, 2), 8388482, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3124, 4194303, F3, 2, 12) (dual of [(4194303, 2), 8388482, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3126, 4194305, F3, 2, 12) (dual of [(4194305, 2), 8388484, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(3127, 4194308, F3, 2, 12) (dual of [(4194308, 2), 8388489, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(3128, 4194310, F3, 2, 12) (dual of [(4194310, 2), 8388492, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(3129, 4194314, F3, 2, 12) (dual of [(4194314, 2), 8388499, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(3130, 4194320, F3, 2, 12) (dual of [(4194320, 2), 8388510, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(3131, 4194326, F3, 2, 12) (dual of [(4194326, 2), 8388521, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(3132, 4194334, F3, 2, 12) (dual of [(4194334, 2), 8388536, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(3133, 4194343, F3, 2, 12) (dual of [(4194343, 2), 8388553, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(3136, 4194347, F3, 2, 12) (dual of [(4194347, 2), 8388558, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(3137, 4194355, F3, 2, 12) (dual of [(4194355, 2), 8388573, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(3138, 4194385, F3, 2, 12) (dual of [(4194385, 2), 8388632, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(3140, 4194422, F3, 2, 12) (dual of [(4194422, 2), 8388704, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(3141, 4194427, F3, 2, 12) (dual of [(4194427, 2), 8388713, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(3120, 3735169, F3, 3, 12) (dual of [(3735169, 3), 11205387, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 17 | Linear OOA(3120, 3735169, F3, 4, 12) (dual of [(3735169, 4), 14940556, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(3120, 3735169, F3, 5, 12) (dual of [(3735169, 5), 18675725, 13]-NRT-code) | [i] | ||
| 19 | Digital (108, 120, 3735169)-net over F3 | [i] | ||