Information on Result #711600
Linear OA(5103, 655, F5, 30) (dual of [655, 552, 31]-code), using construction XX applied to C1 = C([621,22]), C2 = C([1,26]), C3 = C1 + C2 = C([1,22]), and C∩ = C1 ∩ C2 = C([621,26]) based on
- linear OA(585, 624, F5, 26) (dual of [624, 539, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−3,−2,…,22}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(582, 624, F5, 26) (dual of [624, 542, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(595, 624, F5, 30) (dual of [624, 529, 31]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−3,−2,…,26}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(572, 624, F5, 22) (dual of [624, 552, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(54, 17, F5, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,5)), using
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), using
- discarding factors / shortening the dual code based on linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)) (see above)
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.