Information on Result #1831677
OOA(1689, 1048594, S16, 2, 16), using (u, u+v)-construction based on
- linear OOA(168, 17, F16, 2, 8) (dual of [(17, 2), 26, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;26,16) [i]
- OOA(1681, 1048577, S16, 2, 16), using
- OOA 2-folding [i] based on OA(1681, 2097154, S16, 16), using
- discarding factors based on OA(1681, 2097155, S16, 16), using
- discarding parts of the base [i] based on linear OA(12846, 2097155, F128, 16) (dual of [2097155, 2097109, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(12843, 2097152, F128, 15) (dual of [2097152, 2097109, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(15) ⊂ Ce(14) [i] based on
- discarding parts of the base [i] based on linear OA(12846, 2097155, F128, 16) (dual of [2097155, 2097109, 17]-code), using
- discarding factors based on OA(1681, 2097155, S16, 16), using
- OOA 2-folding [i] based on OA(1681, 2097154, S16, 16), 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(1689, 262148, S16, 18, 16) | [i] | OOA Folding and Stacking with Additional Row | |