Information on Result #901242
Linear OOA(27107, 9871, F27, 2, 32) (dual of [(9871, 2), 19635, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2716, 28, F27, 2, 16) (dual of [(28, 2), 40, 17]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;40,27) [i]
- linear OOA(2791, 9843, F27, 2, 32) (dual of [(9843, 2), 19595, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2791, 19686, F27, 32) (dual of [19686, 19595, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(2791, 19683, F27, 32) (dual of [19683, 19592, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2788, 19683, F27, 31) (dual of [19683, 19595, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- OOA 2-folding [i] based on linear OA(2791, 19686, F27, 32) (dual of [19686, 19595, 33]-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.