Information on Result #1160021
Linear OOA(2242, 1198377, F2, 7, 20) (dual of [(1198377, 7), 8388397, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(212, 6, F2, 7, 10) (dual of [(6, 7), 30, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,31P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- linear OOA(2230, 1198371, F2, 7, 20) (dual of [(1198371, 7), 8388367, 21]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2230, 8388597, F2, 20) (dual of [8388597, 8388367, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(2230, large, F2, 20) (dual of [large, large−230, 21]-code), using
- OOA 7-folding [i] based on linear OA(2230, 8388597, F2, 20) (dual of [8388597, 8388367, 21]-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.