Information on Result #2277465
Linear OA(583, 650, F5, 24) (dual of [650, 567, 25]-code), using 1 times code embedding in larger space based on linear OA(582, 649, F5, 24) (dual of [649, 567, 25]-code), using
- construction XX applied to C1 = C([140,161]), C2 = C([138,157]), C3 = C1 + C2 = C([140,157]), and C∩ = C1 ∩ C2 = C([138,161]) [i] based on
- linear OA(569, 624, F5, 22) (dual of [624, 555, 23]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {140,141,…,161}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(565, 624, F5, 20) (dual of [624, 559, 21]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,157}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,161}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(557, 624, F5, 18) (dual of [624, 567, 19]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {140,141,…,157}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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(583, 325, F5, 2, 24) (dual of [(325, 2), 567, 25]-NRT-code) | [i] | OOA Folding | |