Information on Result #904857
Linear OOA(12840, 1056834, F128, 2, 11) (dual of [(1056834, 2), 2113628, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1289, 8257, F128, 2, 5) (dual of [(8257, 2), 16505, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;256,128) [i]
- linear OOA(1287, 8128, F128, 2, 5) (dual of [(8128, 2), 16249, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1287, 16256, F128, 5) (dual of [16256, 16249, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(1287, 16257, F128, 5) (dual of [16257, 16250, 6]-code), using
- OOA 2-folding [i] based on linear OA(1287, 16256, F128, 5) (dual of [16256, 16249, 6]-code), using
- linear OOA(1282, 129, F128, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12831, 1048577, F128, 2, 11) (dual of [(1048577, 2), 2097123, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12831, 2097154, F128, 11) (dual of [2097154, 2097123, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(12831, 2097155, F128, 11) (dual of [2097155, 2097124, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(12831, 2097152, F128, 11) (dual of [2097152, 2097121, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- 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(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(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(12831, 2097155, F128, 11) (dual of [2097155, 2097124, 12]-code), using
- OOA 2-folding [i] based on linear OA(12831, 2097154, F128, 11) (dual of [2097154, 2097123, 12]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12840, 528417, F128, 4, 11) (dual of [(528417, 4), 2113628, 12]-NRT-code) | [i] | OOA Folding | |