Information on Result #710087
Linear OA(587, 146, F5, 40) (dual of [146, 59, 41]-code), using construction XX applied to C1 = C([118,32]), C2 = C([0,33]), C3 = C1 + C2 = C([0,32]), and C∩ = C1 ∩ C2 = C([118,33]) based on
- linear OA(577, 124, F5, 39) (dual of [124, 47, 40]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,32}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(568, 124, F5, 34) (dual of [124, 56, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(580, 124, F5, 40) (dual of [124, 44, 41]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,33}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(565, 124, F5, 33) (dual of [124, 59, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(57, 19, F5, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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(587, 73, F5, 2, 40) (dual of [(73, 2), 59, 41]-NRT-code) | [i] | OOA Folding | |