Information on Result #895801
Linear OOA(4249, 4194322, F4, 2, 26) (dual of [(4194322, 2), 8388395, 27]-NRT-code), using (u, u+v)-construction based on
- linear OOA(420, 21, F4, 2, 13) (dual of [(21, 2), 22, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,28P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- linear OOA(4229, 4194301, F4, 2, 26) (dual of [(4194301, 2), 8388373, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4229, 8388602, F4, 26) (dual of [8388602, 8388373, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4229, large, F4, 26) (dual of [large, large−229, 27]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- discarding factors / shortening the dual code based on linear OA(4229, large, F4, 26) (dual of [large, large−229, 27]-code), using
- OOA 2-folding [i] based on linear OA(4229, 8388602, F4, 26) (dual of [8388602, 8388373, 27]-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(4250, 4194322, F4, 2, 26) (dual of [(4194322, 2), 8388394, 27]-NRT-code) | [i] | OOA Duplication | |