Information on Result #717076
Linear OA(8173, 530, F8, 64) (dual of [530, 357, 65]-code), using construction XX applied to C1 = C([507,58]), C2 = C([0,59]), C3 = C1 + C2 = C([0,58]), and C∩ = C1 ∩ C2 = C([507,59]) based on
- linear OA(8166, 511, F8, 63) (dual of [511, 345, 64]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,58}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(8157, 511, F8, 60) (dual of [511, 354, 61]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,59], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(8169, 511, F8, 64) (dual of [511, 342, 65]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−4,−3,…,59}, and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(8154, 511, F8, 59) (dual of [511, 357, 60]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,58], and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), using
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8173, 265, F8, 2, 64) (dual of [(265, 2), 357, 65]-NRT-code) | [i] | OOA Folding | |