Information on Result #1680279
Linear OOA(2112, 16383, F2, 7, 14) (dual of [(16383, 7), 114569, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2112, 16383, F2, 4, 14) (dual of [(16383, 4), 65420, 15]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2112, 65532, F2, 14) (dual of [65532, 65420, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2112, 65535, F2, 14) (dual of [65535, 65423, 15]-code), using
- 1 times truncation [i] based on linear OA(2113, 65536, F2, 15) (dual of [65536, 65423, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 1 times truncation [i] based on linear OA(2113, 65536, F2, 15) (dual of [65536, 65423, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2112, 65535, F2, 14) (dual of [65535, 65423, 15]-code), using
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(2112, 16382, F2, 8, 14) (dual of [(16382, 8), 130944, 15]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2112, 16382, F2, 21, 14) (dual of [(16382, 21), 343910, 15]-NRT-code) | [i] | ||