Information on Result #710892
Linear OA(546, 646, F5, 13) (dual of [646, 600, 14]-code), using construction XX applied to C1 = C([145,155]), C2 = C([149,157]), C3 = C1 + C2 = C([149,155]), and C∩ = C1 ∩ C2 = C([145,157]) based on
- linear OA(536, 624, F5, 11) (dual of [624, 588, 12]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {145,146,…,155}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(529, 624, F5, 9) (dual of [624, 595, 10]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {149,150,…,157}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(541, 624, F5, 13) (dual of [624, 583, 14]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {145,146,…,157}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(524, 624, F5, 7) (dual of [624, 600, 8]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {149,150,…,155}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-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.