Information on Result #700082
Linear OA(12846, 16407, F128, 20) (dual of [16407, 16361, 21]-code), using construction X applied to Ce(19) ⊂ Ce(11) based on
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(1287, 23, F128, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), 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 | OA(6454, 16407, S64, 20) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(12846, 11016, F128, 2, 20) (dual of [(11016, 2), 21986, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(12846, 11016, F128, 3, 20) (dual of [(11016, 3), 33002, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(12846, 11016, F128, 4, 20) (dual of [(11016, 4), 44018, 21]-NRT-code) | [i] | ||
| 5 | Digital (26, 46, 11016)-net over F128 | [i] | ||
| 6 | Linear OOA(12846, 8203, F128, 2, 20) (dual of [(8203, 2), 16360, 21]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(12846, 5469, F128, 3, 20) (dual of [(5469, 3), 16361, 21]-NRT-code) | [i] | ||