Information on Result #1562398
Linear OOA(9131, 6068, F9, 3, 37) (dual of [(6068, 3), 18073, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9131, 6068, F9, 37) (dual of [6068, 5937, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(9131, 6571, F9, 37) (dual of [6571, 6440, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(33) [i] based on
- linear OA(9129, 6561, F9, 37) (dual of [6561, 6432, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9121, 6561, F9, 34) (dual of [6561, 6440, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
- construction X applied to Ce(36) ⊂ Ce(33) [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(9131, 1011, F9, 39, 37) (dual of [(1011, 39), 39298, 38]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |