Information on Result #721877
Linear OA(16109, 291, F16, 55) (dual of [291, 182, 56]-code), using construction XX applied to C1 = C([254,51]), C2 = C([12,53]), C3 = C1 + C2 = C([12,51]), and C∩ = C1 ∩ C2 = C([254,53]) based on
- linear OA(1690, 255, F16, 53) (dual of [255, 165, 54]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,51}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(1675, 255, F16, 42) (dual of [255, 180, 43]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {12,13,…,53}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(1694, 255, F16, 55) (dual of [255, 161, 56]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−1,0,…,53}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(1671, 255, F16, 40) (dual of [255, 184, 41]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {12,13,…,51}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(1614, 31, F16, 12) (dual of [31, 17, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(1614, 33, F16, 12) (dual of [33, 19, 13]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1614, 33, F16, 12) (dual of [33, 19, 13]-code), using
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- Reed–Solomon code RS(15,16) [i]
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), 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.