Information on Result #710613
Linear OA(589, 326, F5, 29) (dual of [326, 237, 30]-code), using construction XX applied to C1 = C([65,91]), C2 = C([63,88]), C3 = C1 + C2 = C([65,88]), and C∩ = C1 ∩ C2 = C([63,91]) based on
- linear OA(581, 312, F5, 27) (dual of [312, 231, 28]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {65,66,…,91}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(579, 312, F5, 26) (dual of [312, 233, 27]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,88}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(585, 312, F5, 29) (dual of [312, 227, 30]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,91}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(575, 312, F5, 24) (dual of [312, 237, 25]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {65,66,…,88}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(53, 9, F5, 2) (dual of [9, 6, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), 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(589, 163, F5, 2, 29) (dual of [(163, 2), 237, 30]-NRT-code) | [i] | OOA Folding | |