Information on Result #1464152
Linear OOA(8171, 4260, F81, 2, 32) (dual of [(4260, 2), 8449, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8171, 4260, F81, 32) (dual of [4260, 4189, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(8171, 6587, F81, 32) (dual of [6587, 6516, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(22) [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(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(818, 26, F81, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,81)), using
- discarding factors / shortening the dual code based on linear OA(818, 81, F81, 8) (dual of [81, 73, 9]-code or 81-arc in PG(7,81)), using
- Reed–Solomon code RS(73,81) [i]
- discarding factors / shortening the dual code based on linear OA(818, 81, F81, 8) (dual of [81, 73, 9]-code or 81-arc in PG(7,81)), using
- construction X applied to Ce(31) ⊂ Ce(22) [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(8171, 2130, F81, 4, 32) (dual of [(2130, 4), 8449, 33]-NRT-code) | [i] | OOA Folding | |