Information on Result #700099
Linear OA(12849, 16410, F128, 21) (dual of [16410, 16361, 22]-code), using construction X applied to Ce(20) ⊂ Ce(11) based on
- linear OA(12841, 16384, F128, 21) (dual of [16384, 16343, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1288, 26, F128, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,128)), using
- discarding factors / shortening the dual code based on linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), using
- Reed–Solomon code RS(120,128) [i]
- discarding factors / shortening the dual code based on linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), using
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(12849, 13140, F128, 2, 21) (dual of [(13140, 2), 26231, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12849, 13140, F128, 3, 21) (dual of [(13140, 3), 39371, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(12849, 13140, F128, 4, 21) (dual of [(13140, 4), 52511, 22]-NRT-code) | [i] | ||
| 4 | Digital (28, 49, 13140)-net over F128 | [i] | ||
| 5 | Linear OOA(12849, 8205, F128, 2, 21) (dual of [(8205, 2), 16361, 22]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(12849, 5470, F128, 3, 21) (dual of [(5470, 3), 16361, 22]-NRT-code) | [i] | ||