Information on Result #1014423
Linear OOA(8100, 5592427, F8, 3, 12) (dual of [(5592427, 3), 16777181, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(810, 25, F8, 3, 6) (dual of [(25, 3), 65, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,68P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- linear OOA(890, 5592402, F8, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8100, 2796213, F8, 15, 12) (dual of [(2796213, 15), 41943095, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |