Information on Result #856620
Linear OOA(1659, 2064, F16, 2, 18) (dual of [(2064, 2), 4069, 19]-NRT-code), using OOA 2-folding based on linear OA(1659, 4128, F16, 18) (dual of [4128, 4069, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(1659, 4129, F16, 18) (dual of [4129, 4070, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(8) [i] based on
- linear OA(1649, 4096, F16, 18) (dual of [4096, 4047, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(1625, 4096, F16, 9) (dual of [4096, 4071, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(1610, 33, F16, 8) (dual of [33, 23, 9]-code), using
- extended algebraic-geometric code AGe(F,24P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- construction X applied to Ce(17) ⊂ Ce(8) [i] based on
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.