Information on Result #710630
Linear OA(596, 325, F5, 32) (dual of [325, 229, 33]-code), using construction XX applied to C1 = C([63,93]), C2 = C([62,90]), C3 = C1 + C2 = C([63,90]), and C∩ = C1 ∩ C2 = C([62,93]) based on
- linear OA(589, 312, F5, 31) (dual of [312, 223, 32]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,93}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(587, 312, F5, 29) (dual of [312, 225, 30]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {62,63,…,90}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(593, 312, F5, 32) (dual of [312, 219, 33]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {62,63,…,93}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(583, 312, F5, 28) (dual of [312, 229, 29]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,90}, and designed minimum distance d ≥ |I|+1 = 29 [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(50, 4, F5, 0) (dual of [4, 4, 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(596, 162, F5, 2, 32) (dual of [(162, 2), 228, 33]-NRT-code) | [i] | OOA Folding | |