Information on Result #688788
Linear OA(817, 70, F8, 9) (dual of [70, 53, 10]-code), using construction X applied to Ce(8) ⊂ Ce(5) based on
- linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(811, 64, F8, 6) (dual of [64, 53, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(82, 6, F8, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8165, 2097222, F8, 25) (dual of [2097222, 2097057, 26]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 2 | Linear OA(8168, 262214, F8, 29) (dual of [262214, 262046, 30]-code) | [i] | ||
| 3 | Linear OA(8162, 262214, F8, 28) (dual of [262214, 262052, 29]-code) | [i] | ||
| 4 | Linear OA(8156, 262214, F8, 27) (dual of [262214, 262058, 28]-code) | [i] | ||
| 5 | Linear OOA(817, 35, F8, 2, 9) (dual of [(35, 2), 53, 10]-NRT-code) | [i] | OOA Folding | |