Information on Result #900909
Linear OOA(2793, 265770, F27, 2, 21) (dual of [(265770, 2), 531447, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2712, 48, F27, 2, 10) (dual of [(48, 2), 84, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,85P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- linear OOA(2781, 265722, F27, 2, 21) (dual of [(265722, 2), 531363, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2781, 531444, F27, 21) (dual of [531444, 531363, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2781, 531445, F27, 21) (dual of [531445, 531364, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(2781, 531441, F27, 21) (dual of [531441, 531360, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2777, 531441, F27, 20) (dual of [531441, 531364, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(2781, 531445, F27, 21) (dual of [531445, 531364, 22]-code), using
- OOA 2-folding [i] based on linear OA(2781, 531444, F27, 21) (dual of [531444, 531363, 22]-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(2793, 53153, F27, 22, 21) (dual of [(53153, 22), 1169273, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |