Information on Result #691689
Linear OA(1683, 1048613, F16, 16) (dual of [1048613, 1048530, 17]-code), using construction X applied to Ce(16) ⊂ Ce(9) based on
- linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1646, 1048576, F16, 10) (dual of [1048576, 1048530, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(167, 37, F16, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(167, 241, F16, 5) (dual of [241, 234, 6]-code), 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 | Linear OA(1684, 1048614, F16, 16) (dual of [1048614, 1048530, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1683, 524306, F16, 2, 16) (dual of [(524306, 2), 1048529, 17]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(1683, 131076, F16, 16, 16) (dual of [(131076, 16), 2097133, 17]-NRT-code) | [i] | OA Folding and Stacking | |