Information on Result #1080156
Linear OOA(2246, 2097159, F2, 4, 21) (dual of [(2097159, 4), 8388390, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(215, 9, F2, 4, 10) (dual of [(9, 4), 21, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,25P) [i] based on function field F/F2 with g(F) = 5 and N(F) ≥ 9, using
- linear OOA(2231, 2097150, F2, 4, 21) (dual of [(2097150, 4), 8388369, 22]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- OOA 4-folding [i] based on linear OA(2231, 8388600, F2, 21) (dual of [8388600, 8388369, 22]-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.