Information on Result #711391
Linear OA(586, 649, F5, 25) (dual of [649, 563, 26]-code), using construction XX applied to C1 = C([619,18]), C2 = C([0,20]), C3 = C1 + C2 = C([0,18]), and C∩ = C1 ∩ C2 = C([619,20]) based on
- 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 = {−5,−4,…,18}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(565, 624, F5, 21) (dual of [624, 559, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(581, 624, F5, 26) (dual of [624, 543, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,20}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(561, 624, F5, 19) (dual of [624, 563, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(54, 20, F5, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,5)), using
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
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(586, 324, F5, 2, 25) (dual of [(324, 2), 562, 26]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(586, 216, F5, 3, 25) (dual of [(216, 3), 562, 26]-NRT-code) | [i] | ||