Information on Result #712187
Linear OA(5139, 668, F5, 40) (dual of [668, 529, 41]-code), using construction XX applied to C1 = C([619,30]), C2 = C([1,35]), C3 = C1 + C2 = C([1,30]), and C∩ = C1 ∩ C2 = C([619,35]) based on
- linear OA(5111, 624, F5, 36) (dual of [624, 513, 37]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,30}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(5110, 624, F5, 35) (dual of [624, 514, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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 = {−5,−4,…,35}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(594, 624, F5, 30) (dual of [624, 530, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(58, 24, F5, 5) (dual of [24, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(58, 33, F5, 5) (dual of [33, 25, 6]-code), using
- linear OA(54, 20, F5, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,5)), 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(5139, 334, F5, 2, 40) (dual of [(334, 2), 529, 41]-NRT-code) | [i] | OOA Folding | |