Information on Result #710585
Linear OA(563, 320, F5, 20) (dual of [320, 257, 21]-code), using construction XX applied to C1 = C([311,17]), C2 = C([0,18]), C3 = C1 + C2 = C([0,17]), and C∩ = C1 ∩ C2 = C([311,18]) based on
- linear OA(559, 312, F5, 19) (dual of [312, 253, 20]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {−1,0,…,17}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(559, 312, F5, 19) (dual of [312, 253, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(563, 312, F5, 20) (dual of [312, 249, 21]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(555, 312, F5, 18) (dual of [312, 257, 19]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(50, 4, F5, 0) (dual of [4, 4, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(563, 160, F5, 2, 20) (dual of [(160, 2), 257, 21]-NRT-code) | [i] | OOA Folding | |