Information on Result #709849
Linear OA(542, 144, F5, 15) (dual of [144, 102, 16]-code), using construction XX applied to C1 = C([119,8]), C2 = C([0,10]), C3 = C1 + C2 = C([0,8]), and C∩ = C1 ∩ C2 = C([119,10]) based on
- linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,8}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(525, 124, F5, 11) (dual of [124, 99, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(537, 124, F5, 16) (dual of [124, 87, 17]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,10}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(522, 124, F5, 9) (dual of [124, 102, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using
- linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
- discarding factors / shortening the dual code based on linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), 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(542, 72, F5, 2, 15) (dual of [(72, 2), 102, 16]-NRT-code) | [i] | OOA Folding | |