Information on Result #1019303
Linear OOA(12852, 699351, F128, 3, 14) (dual of [(699351, 3), 2098001, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12812, 300, F128, 3, 7) (dual of [(300, 3), 888, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1284, 16385, F128, 3, 3) (dual of [(16385, 3), 49151, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(1284, 16385, F128, 2, 3) (dual of [(16385, 2), 32766, 4]-NRT-code), using
- linear OOA(1288, 150, F128, 3, 7) (dual of [(150, 3), 442, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,442P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1284, 16385, F128, 3, 3) (dual of [(16385, 3), 49151, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12840, 699051, F128, 3, 14) (dual of [(699051, 3), 2097113, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12840, 2097153, F128, 14) (dual of [2097153, 2097113, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(12840, 2097155, F128, 14) (dual of [2097155, 2097115, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12837, 2097152, F128, 13) (dual of [2097152, 2097115, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(12840, 2097155, F128, 14) (dual of [2097155, 2097115, 15]-code), using
- OOA 3-folding [i] based on linear OA(12840, 2097153, F128, 14) (dual of [2097153, 2097113, 15]-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.