Information on Result #721962
Linear OA(16115, 291, F16, 58) (dual of [291, 176, 59]-code), using construction XX applied to C1 = C([251,51]), C2 = C([9,53]), C3 = C1 + C2 = C([9,51]), and C∩ = C1 ∩ C2 = C([251,53]) based on
- linear OA(1696, 255, F16, 56) (dual of [255, 159, 57]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−4,−3,…,51}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(1681, 255, F16, 45) (dual of [255, 174, 46]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {9,10,…,53}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(16100, 255, F16, 58) (dual of [255, 155, 59]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−4,−3,…,53}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(1677, 255, F16, 43) (dual of [255, 178, 44]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {9,10,…,51}, and designed minimum distance d ≥ |I|+1 = 44 [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.