Information on Result #691768
Linear OA(1669, 65540, F16, 19) (dual of [65540, 65471, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(1669, 65536, F16, 19) (dual of [65536, 65467, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1665, 65536, F16, 18) (dual of [65536, 65471, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(160, 4, F16, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 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(892, 65540, S8, 19) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(1669, 32770, F16, 2, 19) (dual of [(32770, 2), 65471, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(1669, 7282, F16, 19, 19) (dual of [(7282, 19), 138289, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |