Information on Result #2277845
Linear OA(5136, 657, F5, 41) (dual of [657, 521, 42]-code), using 1 times code embedding in larger space based on linear OA(5135, 656, F5, 41) (dual of [656, 521, 42]-code), using
- construction XX applied to C1 = C([125,161]), C2 = C([121,157]), C3 = C1 + C2 = C([125,157]), and C∩ = C1 ∩ C2 = C([121,161]) [i] based on
- linear OA(5115, 624, F5, 37) (dual of [624, 509, 38]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {125,126,…,161}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(5115, 624, F5, 37) (dual of [624, 509, 38]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,157}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(5127, 624, F5, 41) (dual of [624, 497, 42]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,161}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5103, 624, F5, 33) (dual of [624, 521, 34]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {125,126,…,157}, and designed minimum distance d ≥ |I|+1 = 34 [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(5136, 219, F5, 3, 41) (dual of [(219, 3), 521, 42]-NRT-code) | [i] | OOA Folding | |