Information on Result #701920
Linear OA(2157, 293, F2, 40) (dual of [293, 136, 41]-code), using construction XX applied to C1 = C([217,254]), C2 = C([225,2]), C3 = C1 + C2 = C([225,254]), and C∩ = C1 ∩ C2 = C([217,2]) based on
- linear OA(2132, 255, F2, 38) (dual of [255, 123, 39]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−38,−37,…,−1}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2125, 255, F2, 33) (dual of [255, 130, 34]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−30,−29,…,2}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2141, 255, F2, 41) (dual of [255, 114, 42]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−38,−37,…,2}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2116, 255, F2, 30) (dual of [255, 139, 31]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−30,−29,…,−1}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(215, 28, F2, 7) (dual of [28, 13, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [i]
- linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- (u, u+v)-construction [i] based on
- linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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.