Information on Result #709902
Linear OA(557, 152, F5, 20) (dual of [152, 95, 21]-code), using construction XX applied to C1 = C([118,11]), C2 = C([0,13]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([118,13]) based on
- linear OA(543, 124, F5, 18) (dual of [124, 81, 19]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,11}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(549, 124, F5, 20) (dual of [124, 75, 21]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,13}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(528, 124, F5, 12) (dual of [124, 96, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- linear OA(51, 7, F5, 1) (dual of [7, 6, 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
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(557, 76, F5, 2, 20) (dual of [(76, 2), 95, 21]-NRT-code) | [i] | OOA Folding | |