Information on Result #707282
Linear OA(4104, 353, F4, 30) (dual of [353, 249, 31]-code), using construction XX applied to C1 = C([313,340]), C2 = C([316,1]), C3 = C1 + C2 = C([316,340]), and C∩ = C1 ∩ C2 = C([313,1]) based on
- linear OA(495, 341, F4, 28) (dual of [341, 246, 29]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,−1}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(496, 341, F4, 27) (dual of [341, 245, 28]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−25,−24,…,1}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(4101, 341, F4, 30) (dual of [341, 240, 31]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,1}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(490, 341, F4, 25) (dual of [341, 251, 26]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−25,−24,…,−1}, and designed minimum distance d ≥ |I|+1 = 26 [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, 7, F4, 1) (dual of [7, 6, 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.