Information on Result #686367
Linear OA(8149, 2097217, F8, 22) (dual of [2097217, 2097068, 23]-code), using construction X applied to Ce(21) ⊂ Ce(12) based on
- linear OA(8134, 2097152, F8, 22) (dual of [2097152, 2097018, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(878, 2097152, F8, 13) (dual of [2097152, 2097074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(815, 65, F8, 8) (dual of [65, 50, 9]-code), using
- base reduction for projective spaces (embedding PG(7,64) in PG(14,8)) [i] based on linear OA(648, 65, F64, 8) (dual of [65, 57, 9]-code or 65-arc in PG(7,64)), using
- extended Reed–Solomon code RSe(57,64) [i]
- base reduction for projective spaces (embedding PG(7,64) in PG(14,8)) [i] based on linear OA(648, 65, F64, 8) (dual of [65, 57, 9]-code or 65-arc in PG(7,64)), 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 | Linear OOA(8149, 190656, F8, 22, 22) (dual of [(190656, 22), 4194283, 23]-NRT-code) | [i] | OA Folding and Stacking | |