Information on Result #1019148
Linear OOA(12834, 699201, F128, 3, 10) (dual of [(699201, 3), 2097569, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1286, 150, F128, 3, 5) (dual of [(150, 3), 444, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,444P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12828, 699051, F128, 3, 10) (dual of [(699051, 3), 2097125, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12828, 2097153, F128, 10) (dual of [2097153, 2097125, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(12828, 2097155, F128, 10) (dual of [2097155, 2097127, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(12825, 2097152, F128, 9) (dual of [2097152, 2097127, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(12828, 2097155, F128, 10) (dual of [2097155, 2097127, 11]-code), using
- OOA 3-folding [i] based on linear OA(12828, 2097153, F128, 10) (dual of [2097153, 2097125, 11]-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.