Information on Result #711690
Linear OA(5110, 649, F5, 33) (dual of [649, 539, 34]-code), using construction XX applied to C1 = C([619,26]), C2 = C([1,27]), C3 = C1 + C2 = C([1,26]), and C∩ = C1 ∩ C2 = C([619,27]) based on
- linear OA(599, 624, F5, 32) (dual of [624, 525, 33]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,26}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(586, 624, F5, 27) (dual of [624, 538, 28]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(5103, 624, F5, 33) (dual of [624, 521, 34]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,27}, and designed minimum distance d ≥ |I|+1 = 34 [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(57, 21, F5, 5) (dual of [21, 14, 6]-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
None.