Information on Result #906811
Linear OOA(2745, 4195067, F27, 2, 8) (dual of [(4195067, 2), 8390089, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(279, 766, F27, 2, 4) (dual of [(766, 2), 1523, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(270, s, F27, 2, 0) for arbitrarily large s, using
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code) (see above)
- linear OOA(271, 28, F27, 2, 1) (dual of [(28, 2), 55, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(271, s, F27, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(271, s, F27, 2, 1) for arbitrarily large s, using
- linear OOA(271, 28, F27, 2, 1) (dual of [(28, 2), 55, 2]-NRT-code) (see above)
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;54,27) [i]
- linear OOA(275, 38, F27, 2, 4) (dual of [(38, 2), 71, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,71P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(270, 28, F27, 2, 0) (dual of [(28, 2), 56, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2736, 4194301, F27, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2736, 8388602, F27, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2736, large, F27, 8) (dual of [large, large−36, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(2736, large, F27, 8) (dual of [large, large−36, 9]-code), using
- OOA 2-folding [i] based on linear OA(2736, 8388602, F27, 8) (dual of [8388602, 8388566, 9]-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(2745, 2097533, F27, 10, 8) (dual of [(2097533, 10), 20975285, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |