Information on Result #1082895
Linear OOA(12827, 524438, F128, 4, 8) (dual of [(524438, 4), 2097725, 9]-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(12822, 524288, F128, 4, 8) (dual of [(524288, 4), 2097130, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 4-folding [i] based on linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(12827, 524437, F128, 12, 8) (dual of [(524437, 12), 6293217, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |