Information on Result #1454159
Linear OOA(1690, 44860, F16, 2, 24) (dual of [(44860, 2), 89630, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1690, 44860, F16, 24) (dual of [44860, 44770, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(1690, 65545, F16, 24) (dual of [65545, 65455, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(1689, 65536, F16, 24) (dual of [65536, 65447, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(1681, 65536, F16, 22) (dual of [65536, 65455, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(23) ⊂ Ce(21) [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(1690, 7476, F16, 26, 24) (dual of [(7476, 26), 194286, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |