Information on Result #1019084
Linear OOA(12828, 707179, F128, 3, 8) (dual of [(707179, 3), 2121509, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1286, 8128, F128, 3, 4) (dual of [(8128, 3), 24378, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(1286, 16256, F128, 4) (dual of [16256, 16250, 5]-code), using
- 1 times truncation [i] based on linear OA(1287, 16257, F128, 5) (dual of [16257, 16250, 6]-code), using
- OA 2-folding and stacking [i] based on linear OA(1286, 16256, F128, 4) (dual of [16256, 16250, 5]-code), using
- linear OOA(12822, 699051, F128, 3, 8) (dual of [(699051, 3), 2097131, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12822, 2097153, F128, 8) (dual of [2097153, 2097131, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(12822, 2097155, F128, 8) (dual of [2097155, 2097133, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(12819, 2097152, F128, 7) (dual of [2097152, 2097133, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(12822, 2097155, F128, 8) (dual of [2097155, 2097133, 9]-code), using
- OOA 3-folding [i] based on linear OA(12822, 2097153, F128, 8) (dual of [2097153, 2097131, 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.