Information on Result #1466311
Linear OOA(2105, 4194382, F2, 2, 8) (dual of [(4194382, 2), 8388659, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(213, 81, F2, 2, 4) (dual of [(81, 2), 149, 5]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(213, 81, F2, 4) (dual of [81, 68, 5]-code), using
- 1 times truncation [i] based on linear OA(214, 82, F2, 5) (dual of [82, 68, 6]-code), using
- a “Sh1†code from Brouwer’s database [i]
- 1 times truncation [i] based on linear OA(214, 82, F2, 5) (dual of [82, 68, 6]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(213, 81, F2, 4) (dual of [81, 68, 5]-code), using
- linear OOA(292, 4194301, F2, 2, 8) (dual of [(4194301, 2), 8388510, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(292, 8388602, F2, 8) (dual of [8388602, 8388510, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
- OOA 2-folding [i] based on linear OA(292, 8388602, F2, 8) (dual of [8388602, 8388510, 9]-code), using
Mode: 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.