Information on Result #1082929
Linear OOA(12838, 2097300, F128, 4, 9) (dual of [(2097300, 4), 8389162, 10]-NRT-code), using (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(12833, 2097150, F128, 4, 9) (dual of [(2097150, 4), 8388567, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12833, 8388600, F128, 9) (dual of [8388600, 8388567, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12833, large, F128, 9) (dual of [large, large−33, 10]-code), using
- OOA 4-folding [i] based on linear OA(12833, 8388600, F128, 9) (dual of [8388600, 8388567, 10]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12851, 4194600, F128, 4, 9) (dual of [(4194600, 4), 16778349, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12838, 2097299, F128, 12, 9) (dual of [(2097299, 12), 25167550, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |