Information on Result #1455249
Linear OOA(16121, 52607, F16, 2, 32) (dual of [(52607, 2), 105093, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(16121, 52607, F16, 32) (dual of [52607, 52486, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(16121, 65540, F16, 32) (dual of [65540, 65419, 33]-code), using
- 1 times truncation [i] based on linear OA(16122, 65541, F16, 33) (dual of [65541, 65419, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(16121, 65536, F16, 33) (dual of [65536, 65415, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(16117, 65536, F16, 31) (dual of [65536, 65419, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 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(32) ⊂ Ce(30) [i] based on
- 1 times truncation [i] based on linear OA(16122, 65541, F16, 33) (dual of [65541, 65419, 34]-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(16121, 6575, F16, 34, 32) (dual of [(6575, 34), 223429, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |