Information on Result #699900
Linear OA(12865, 16386, F128, 33) (dual of [16386, 16321, 34]-code), using construction X applied to Ce(32) ⊂ Ce(31) based on
- linear OA(12865, 16384, F128, 33) (dual of [16384, 16319, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(12863, 16384, F128, 32) (dual of [16384, 16321, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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 | OA(16114, 16386, S16, 33) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3291, 16386, S32, 33) | [i] | ||
| 3 | OA(6476, 16386, S64, 33) | [i] | ||
| 4 | Linear OOA(12865, 8193, F128, 2, 33) (dual of [(8193, 2), 16321, 34]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(12865, 5462, F128, 3, 33) (dual of [(5462, 3), 16321, 34]-NRT-code) | [i] | ||