Information on Result #1079632
Linear OOA(2199, 3145723, F2, 4, 12) (dual of [(3145723, 4), 12582693, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(261, 1048573, F2, 4, 6) (dual of [(1048573, 4), 4194231, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(261, 1048574, F2, 3, 6) (dual of [(1048574, 3), 3145661, 7]-NRT-code), using
- 1 step truncation [i] based on linear OOA(262, 1048575, F2, 3, 7) (dual of [(1048575, 3), 3145663, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(261, 1048574, F2, 3, 6) (dual of [(1048574, 3), 3145661, 7]-NRT-code), using
- linear OOA(2138, 2097150, F2, 4, 12) (dual of [(2097150, 4), 8388462, 13]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 4-folding [i] based on linear OA(2138, 8388600, F2, 12) (dual of [8388600, 8388462, 13]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.