Information on Result #1070120
Linear OOA(12833, 524353, F128, 4, 10) (dual of [(524353, 4), 2097379, 11]-NRT-code), using OOA 2-folding based on linear OOA(12833, 1048706, F128, 2, 10) (dual of [(1048706, 2), 2097379, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1285, 129, F128, 2, 5) (dual of [(129, 2), 253, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;253,128) [i]
- linear OOA(12828, 1048577, F128, 2, 10) (dual of [(1048577, 2), 2097126, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12828, 2097154, F128, 10) (dual of [2097154, 2097126, 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 2-folding [i] based on linear OA(12828, 2097154, F128, 10) (dual of [2097154, 2097126, 11]-code), using
- linear OOA(1285, 129, F128, 2, 5) (dual of [(129, 2), 253, 6]-NRT-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.