Information on Result #688009
Linear OA(8172, 521, F8, 66) (dual of [521, 349, 67]-code), using construction X applied to Ce(72) ⊂ Ce(61) based on
- linear OA(8169, 512, F8, 73) (dual of [512, 343, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(8163, 512, F8, 62) (dual of [512, 349, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(83, 9, F8, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,8) or 9-cap in PG(2,8)), using
- extended Reed–Solomon code RSe(6,8) [i]
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 OA(8171, 520, F8, 65) (dual of [520, 349, 66]-code) | [i] | Truncation | |
| 2 | Linear OOA(8172, 260, F8, 2, 66) (dual of [(260, 2), 348, 67]-NRT-code) | [i] | OOA Folding | |