Information on Result #1084924
Linear OOA(12871, 4194450, F128, 4, 12) (dual of [(4194450, 4), 16777729, 13]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(1285, 150, F128, 4, 4) (dual of [(150, 4), 595, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(1285, 150, F128, 3, 4) (dual of [(150, 3), 445, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,445P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- appending kth column [i] based on linear OOA(1285, 150, F128, 3, 4) (dual of [(150, 3), 445, 5]-NRT-code), using
- linear OOA(12821, 2097150, F128, 4, 6) (dual of [(2097150, 4), 8388579, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12821, 2796201, F128, 4, 6) (dual of [(2796201, 4), 11184783, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(12821, large, F128, 6) (dual of [large, large−21, 7]-code), using
- discarding factors / shortening the dual code based on linear OOA(12821, 2796201, F128, 4, 6) (dual of [(2796201, 4), 11184783, 7]-NRT-code), using
- linear OOA(12845, 2097150, F128, 4, 12) (dual of [(2097150, 4), 8388555, 13]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12845, 8388600, F128, 12) (dual of [8388600, 8388555, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- OOA 4-folding [i] based on linear OA(12845, 8388600, F128, 12) (dual of [8388600, 8388555, 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.