Information on Result #691596
Linear OA(16107, 1048587, F16, 23) (dual of [1048587, 1048480, 24]-code), using construction X applied to Ce(22) ⊂ Ce(20) 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(1696, 1048576, F16, 21) (dual of [1048576, 1048480, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(161, 11, F16, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-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 | Linear OA(16124, 1048652, F16, 23) (dual of [1048652, 1048528, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16126, 1048672, F16, 23) (dual of [1048672, 1048546, 24]-code) | [i] | ||
| 3 | Linear OOA(16107, 692362, F16, 2, 23) (dual of [(692362, 2), 1384617, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (84, 107, 692362)-net over F16 | [i] | ||
| 5 | Linear OOA(16107, 524293, F16, 2, 23) (dual of [(524293, 2), 1048479, 24]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(16107, 95326, F16, 23, 23) (dual of [(95326, 23), 2192391, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |