Information on Result #691674
Linear OA(16123, 1048613, F16, 25) (dual of [1048613, 1048490, 26]-code), using construction X applied to Ce(24) ⊂ Ce(18) based on
- linear OA(16116, 1048576, F16, 25) (dual of [1048576, 1048460, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(1686, 1048576, F16, 19) (dual of [1048576, 1048490, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(16124, 1048614, F16, 25) (dual of [1048614, 1048490, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(16125, 1048615, F16, 25) (dual of [1048615, 1048490, 26]-code) | [i] | ||
| 3 | Linear OOA(16123, 1048613, F16, 2, 25) (dual of [(1048613, 2), 2097103, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (98, 123, 1048613)-net over F16 | [i] | ||
| 5 | Linear OOA(16123, 524306, F16, 2, 25) (dual of [(524306, 2), 1048489, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(16123, 87384, F16, 25, 25) (dual of [(87384, 25), 2184477, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |