Information on Result #878278
Linear OOA(12812, 8194, F128, 2, 6) (dual of [(8194, 2), 16376, 7]-NRT-code), using OOA 2-folding based on linear OA(12812, 16388, F128, 6) (dual of [16388, 16376, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(12812, 16389, F128, 6) (dual of [16389, 16377, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1287, 16384, F128, 4) (dual of [16384, 16377, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
Mode: Constructive and 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(12857, 4202495, F128, 2, 12) (dual of [(4202495, 2), 8404933, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12861, 4202495, F128, 2, 13) (dual of [(4202495, 2), 8404929, 14]-NRT-code) | [i] | ||
| 3 | OOA(12851, 4202495, S128, 2, 12) | [i] | ||
| 4 | OOA(12855, 4202495, S128, 2, 13) | [i] | ||