Information on Result #836484
Linear OOA(573, 328, F5, 2, 21) (dual of [(328, 2), 583, 22]-NRT-code), using OOA 2-folding based on linear OA(573, 656, F5, 21) (dual of [656, 583, 22]-code), using
- construction XX applied to C1 = C([145,161]), C2 = C([141,157]), C3 = C1 + C2 = C([145,157]), and C∩ = C1 ∩ C2 = C([141,161]) [i] based on
- linear OA(553, 624, F5, 17) (dual of [624, 571, 18]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {145,146,…,161}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(553, 624, F5, 17) (dual of [624, 571, 18]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,157}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,161}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(541, 624, F5, 13) (dual of [624, 583, 14]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {145,146,…,157}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)) (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(574, 328, F5, 2, 21) (dual of [(328, 2), 582, 22]-NRT-code) | [i] | OOA Duplication | |