Information on Result #699022
Linear OA(6475, 4140, F64, 31) (dual of [4140, 4065, 32]-code), using construction X applied to Ce(30) ⊂ Ce(15) based on
- linear OA(6461, 4096, F64, 31) (dual of [4096, 4035, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(6431, 4096, F64, 16) (dual of [4096, 4065, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(6414, 44, F64, 14) (dual of [44, 30, 15]-code or 44-arc in PG(13,64)), using
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), using
- Reed–Solomon code RS(50,64) [i]
- discarding factors / shortening the dual code based on linear OA(6414, 64, F64, 14) (dual of [64, 50, 15]-code or 64-arc in PG(13,64)), 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(3290, 4140, S32, 31) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6475, 2070, F64, 2, 31) (dual of [(2070, 2), 4065, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6475, 1380, F64, 3, 31) (dual of [(1380, 3), 4065, 32]-NRT-code) | [i] | ||