Information on Result #1454668
Linear OOA(16106, 51272, F16, 2, 28) (dual of [(51272, 2), 102438, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(16106, 51272, F16, 28) (dual of [51272, 51166, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(16106, 65545, F16, 28) (dual of [65545, 65439, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(16105, 65536, F16, 28) (dual of [65536, 65431, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(1697, 65536, F16, 26) (dual of [65536, 65439, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(161, 9, F16, 1) (dual of [9, 8, 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
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
Mode: 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(16106, 7324, F16, 30, 28) (dual of [(7324, 30), 219614, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |