Information on Result #1323474
Linear OA(3248, 6640, F3, 42) (dual of [6640, 6392, 43]-code), using construction X applied to Ce(42) ⊂ Ce(31) based on
- linear OA(3225, 6561, F3, 43) (dual of [6561, 6336, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(323, 79, F3, 9) (dual of [79, 56, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(323, 82, F3, 9) (dual of [82, 59, 10]-code), using
- a “GraX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(323, 82, F3, 9) (dual of [82, 59, 10]-code), using
Mode: 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 OOA(3248, 6640, F3, 2, 42) (dual of [(6640, 2), 13032, 43]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3248, 6640, F3, 3, 42) (dual of [(6640, 3), 19672, 43]-NRT-code) | [i] | ||
| 3 | Linear OOA(3248, 6640, F3, 4, 42) (dual of [(6640, 4), 26312, 43]-NRT-code) | [i] | ||
| 4 | Linear OOA(3248, 6640, F3, 5, 42) (dual of [(6640, 5), 32952, 43]-NRT-code) | [i] | ||
| 5 | Digital (206, 248, 6640)-net over F3 | [i] | ||
| 6 | Linear OA(3249, 6642, F3, 42) (dual of [6642, 6393, 43]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(3250, 6644, F3, 42) (dual of [6644, 6394, 43]-code) | [i] | ||
| 8 | Linear OOA(3248, 3320, F3, 2, 42) (dual of [(3320, 2), 6392, 43]-NRT-code) | [i] | OOA Folding | |