Information on Result #717593
Linear OA(99, 84, F9, 5) (dual of [84, 75, 6]-code), using construction XX applied to C1 = C([79,2]), C2 = C([0,3]), C3 = C1 + C2 = C([0,2]), and C∩ = C1 ∩ C2 = C([79,3]) based on
- linear OA(97, 80, F9, 4) (dual of [80, 73, 5]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,1,2}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(97, 80, F9, 4) (dual of [80, 73, 5]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(99, 80, F9, 5) (dual of [80, 71, 6]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−1,0,1,2,3}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(95, 80, F9, 3) (dual of [80, 75, 4]-code or 80-cap in PG(4,9)), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code) (see above)
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(99, 42, F9, 2, 5) (dual of [(42, 2), 75, 6]-NRT-code) | [i] | OOA Folding | |