Information on Result #711549
Linear OA(596, 644, F5, 29) (dual of [644, 548, 30]-code), using construction XX applied to C1 = C([129,155]), C2 = C([133,157]), C3 = C1 + C2 = C([133,155]), and C∩ = C1 ∩ C2 = C([129,157]) based on
- linear OA(586, 624, F5, 27) (dual of [624, 538, 28]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {129,130,…,155}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(581, 624, F5, 25) (dual of [624, 543, 26]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,157}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(591, 624, F5, 29) (dual of [624, 533, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {129,130,…,157}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(576, 624, F5, 23) (dual of [624, 548, 24]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {133,134,…,155}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), using
- linear OA(51, 6, F5, 1) (dual of [6, 5, 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
None.