Information on Result #1454888
Linear OOA(16112, 64937, F16, 2, 29) (dual of [(64937, 2), 129762, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(16112, 64937, F16, 29) (dual of [64937, 64825, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(16112, 65554, F16, 29) (dual of [65554, 65442, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(24) [i] based on
- linear OA(16109, 65536, F16, 29) (dual of [65536, 65427, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(1693, 65536, F16, 25) (dual of [65536, 65443, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(163, 18, F16, 3) (dual of [18, 15, 4]-code or 18-arc in PG(2,16) or 18-cap in PG(2,16)), using
- construction X applied to Ce(28) ⊂ Ce(24) [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(16112, 9276, F16, 30, 29) (dual of [(9276, 30), 278168, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |