Information on Result #1831665
OOA(1671, 1048594, S16, 2, 13), using (u, u+v)-construction based on
- linear OOA(166, 17, F16, 2, 6) (dual of [(17, 2), 28, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;28,16) [i]
- OOA(1665, 1048577, S16, 2, 13), using
- OOA 2-folding [i] based on OA(1665, 2097154, S16, 13), using
- discarding factors based on OA(1665, 2097155, S16, 13), using
- discarding parts of the base [i] based on linear OA(12837, 2097155, F128, 13) (dual of [2097155, 2097118, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(12837, 2097152, F128, 13) (dual of [2097152, 2097115, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- discarding parts of the base [i] based on linear OA(12837, 2097155, F128, 13) (dual of [2097155, 2097118, 14]-code), using
- discarding factors based on OA(1665, 2097155, S16, 13), using
- OOA 2-folding [i] based on OA(1665, 2097154, S16, 13), using
Mode: Constructive.
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 | OOA(1671, 349531, S16, 14, 13) | [i] | OOA Folding and Stacking with Additional Row | |