Information on Result #732059
Linear OA(16125, 1048666, F16, 23) (dual of [1048666, 1048541, 24]-code), using (u, u+v)-construction based on
- linear OA(1619, 85, F16, 11) (dual of [85, 66, 12]-code), using
- linear OA(16106, 1048581, F16, 23) (dual of [1048581, 1048475, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(16106, 1048576, F16, 23) (dual of [1048576, 1048470, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(16101, 1048576, F16, 22) (dual of [1048576, 1048475, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 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
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
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 OOA(16125, 524333, F16, 2, 23) (dual of [(524333, 2), 1048541, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(16125, 95333, F16, 23, 23) (dual of [(95333, 23), 2192534, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |