Information on Result #612283
Linear OA(3221, 3281, F3, 43) (dual of [3281, 3060, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 3280 | 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3220, 3280, F3, 42) (dual of [3280, 3060, 43]-code) | [i] | Truncation | |
| 2 | Linear OOA(3221, 2893, F3, 2, 43) (dual of [(2893, 2), 5565, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3221, 2893, F3, 3, 43) (dual of [(2893, 3), 8458, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(3221, 2893, F3, 4, 43) (dual of [(2893, 4), 11351, 44]-NRT-code) | [i] | ||
| 5 | Linear OOA(3221, 2893, F3, 5, 43) (dual of [(2893, 5), 14244, 44]-NRT-code) | [i] | ||
| 6 | Digital (178, 221, 2893)-net over F3 | [i] | ||
| 7 | Linear OA(3229, 3289, F3, 44) (dual of [3289, 3060, 45]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(3222, 3286, F3, 43) (dual of [3286, 3064, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(3238, 3298, F3, 45) (dual of [3298, 3060, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(3240, 3294, F3, 46) (dual of [3294, 3054, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(3222, 3294, F3, 42) (dual of [3294, 3072, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(3224, 3294, F3, 43) (dual of [3294, 3070, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(3239, 3292, F3, 46) (dual of [3292, 3053, 47]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(3231, 3292, F3, 44) (dual of [3292, 3061, 45]-code) | [i] | ✔ | |
| 15 | Linear OA(3223, 3288, F3, 43) (dual of [3288, 3065, 44]-code) | [i] | ✔ | |
| 16 | Linear OOA(3221, 1640, F3, 2, 43) (dual of [(1640, 2), 3059, 44]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(3221, 1093, F3, 3, 43) (dual of [(1093, 3), 3058, 44]-NRT-code) | [i] | ||
| 18 | Linear OOA(3221, 820, F3, 4, 43) (dual of [(820, 4), 3059, 44]-NRT-code) | [i] | ||
| 19 | Linear OOA(3221, 656, F3, 5, 43) (dual of [(656, 5), 3059, 44]-NRT-code) | [i] | ||