Information on Result #711227
Linear OA(590, 665, F5, 24) (dual of [665, 575, 25]-code), using construction XX applied to C1 = C([618,13]), C2 = C([1,17]), C3 = C1 + C2 = C([1,13]), and C∩ = C1 ∩ C2 = C([618,17]) based on
- linear OA(565, 624, F5, 20) (dual of [624, 559, 21]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,13}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(556, 624, F5, 17) (dual of [624, 568, 18]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,17}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(544, 624, F5, 13) (dual of [624, 580, 14]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), 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
None.