Information on Result #691178
Linear OA(921, 89, F9, 11) (dual of [89, 68, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
- linear OA(918, 81, F9, 11) (dual of [81, 63, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(913, 81, F9, 7) (dual of [81, 68, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(93, 8, F9, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,9) or 8-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- Reed–Solomon code RS(6,9) [i]
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), 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 OOA(921, 44, F9, 2, 11) (dual of [(44, 2), 67, 12]-NRT-code) | [i] | OOA Folding | |