Information on Result #1464170
Linear OOA(8172, 4934, F81, 2, 32) (dual of [(4934, 2), 9796, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8172, 4934, F81, 32) (dual of [4934, 4862, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(8172, 6590, F81, 32) (dual of [6590, 6518, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(21) [i] based on
- linear OA(8163, 6561, F81, 32) (dual of [6561, 6498, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(819, 29, F81, 9) (dual of [29, 20, 10]-code or 29-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
- construction X applied to Ce(31) ⊂ Ce(21) [i] based on
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(8172, 2467, F81, 3, 32) (dual of [(2467, 3), 7329, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8172, 2467, F81, 4, 32) (dual of [(2467, 4), 9796, 33]-NRT-code) | [i] | ||