Information on Result #896498
Linear OOA(848, 262156, F8, 2, 8) (dual of [(262156, 2), 524264, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(84, 9, F8, 2, 4) (dual of [(9, 2), 14, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;14,8) [i]
- linear OOA(844, 262147, F8, 2, 8) (dual of [(262147, 2), 524250, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(844, 524294, F8, 8) (dual of [524294, 524250, 9]-code), using
- trace code [i] based on linear OA(6422, 262147, F64, 8) (dual of [262147, 262125, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- trace code [i] based on linear OA(6422, 262147, F64, 8) (dual of [262147, 262125, 9]-code), using
- OOA 2-folding [i] based on linear OA(844, 524294, F8, 8) (dual of [524294, 524250, 9]-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.