Information on Result #2807351
Linear OOA(12853, 2097300, F128, 4, 12) (dual of [(2097300, 4), 8389147, 13]-NRT-code), using 1281 times duplication based on linear OOA(12852, 2097300, F128, 4, 12) (dual of [(2097300, 4), 8389148, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1287, 150, F128, 4, 6) (dual of [(150, 4), 593, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,593P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, 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
- linear OOA(1287, 150, F128, 4, 6) (dual of [(150, 4), 593, 7]-NRT-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.