Information on Result #822676
Linear OOA(433, 517, F4, 2, 9) (dual of [(517, 2), 1001, 10]-NRT-code), using OOA 2-folding based on linear OA(433, 1034, F4, 9) (dual of [1034, 1001, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(433, 1035, F4, 9) (dual of [1035, 1002, 10]-code), using
- construction XX applied to C1 = C([339,345]), C2 = C([337,343]), C3 = C1 + C2 = C([339,343]), and C∩ = C1 ∩ C2 = C([337,345]) [i] based on
- linear OA(426, 1023, F4, 7) (dual of [1023, 997, 8]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {339,340,…,345}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(426, 1023, F4, 7) (dual of [1023, 997, 8]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {337,338,…,343}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(431, 1023, F4, 9) (dual of [1023, 992, 10]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {337,338,…,345}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(421, 1023, F4, 5) (dual of [1023, 1002, 6]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {339,340,341,342,343}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code) (see above)
- construction XX applied to C1 = C([339,345]), C2 = C([337,343]), C3 = C1 + C2 = C([339,343]), and C∩ = C1 ∩ C2 = C([337,345]) [i] based on
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(4190, 4194818, F4, 2, 18) (dual of [(4194818, 2), 8389446, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4202, 4194818, F4, 2, 19) (dual of [(4194818, 2), 8389434, 20]-NRT-code) | [i] | ||