Information on Result #710757
Linear OA(5129, 324, F5, 43) (dual of [324, 195, 44]-code), using construction XX applied to C1 = C([310,38]), C2 = C([0,40]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([310,40]) based on
- linear OA(5125, 312, F5, 41) (dual of [312, 187, 42]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {−2,−1,…,38}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5119, 312, F5, 41) (dual of [312, 193, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5127, 312, F5, 43) (dual of [312, 185, 44]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {−2,−1,…,40}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(5117, 312, F5, 39) (dual of [312, 195, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(51, 3, F5, 1) (dual of [3, 2, 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(5129, 162, F5, 2, 43) (dual of [(162, 2), 195, 44]-NRT-code) | [i] | OOA Folding | |