Information on Result #1614043
Linear OOA(8173, 531480, F81, 4, 22) (dual of [(531480, 4), 2125847, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8173, 531480, F81, 22) (dual of [531480, 531407, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(11) [i] based on
- linear OA(8164, 531441, F81, 22) (dual of [531441, 531377, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(819, 39, F81, 9) (dual of [39, 30, 10]-code or 39-arc in PG(8,81)), using
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
- Reed–Solomon code RS(72,81) [i]
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
Mode: 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(8173, 177159, F81, 28, 22) (dual of [(177159, 28), 4960379, 23]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |