Information on Result #706127
Linear OA(448, 269, F4, 15) (dual of [269, 221, 16]-code), using construction XX applied to C1 = C([77,89]), C2 = C([75,86]), C3 = C1 + C2 = C([77,86]), and C∩ = C1 ∩ C2 = C([75,89]) based on
- linear OA(437, 255, F4, 13) (dual of [255, 218, 14]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {77,78,…,89}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(437, 255, F4, 12) (dual of [255, 218, 13]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {75,76,…,86}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(445, 255, F4, 15) (dual of [255, 210, 16]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {75,76,…,89}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(429, 255, F4, 10) (dual of [255, 226, 11]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {77,78,…,86}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
- linear OA(41, 9, F4, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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.