Information on Result #1453816
Linear OOA(1677, 61099, F16, 2, 20) (dual of [(61099, 2), 122121, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1677, 61099, F16, 20) (dual of [61099, 61022, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1677, 65553, F16, 20) (dual of [65553, 65476, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(14) [i] based on
- linear OA(1673, 65536, F16, 20) (dual of [65536, 65463, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1657, 65536, F16, 15) (dual of [65536, 65479, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using
- extended Reed–Solomon code RSe(13,16) [i]
- construction X applied to Ce(19) ⊂ Ce(14) [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(1677, 12219, F16, 22, 20) (dual of [(12219, 22), 268741, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |