Information on Result #901051
Linear OOA(27110, 265760, F27, 2, 25) (dual of [(265760, 2), 531410, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2713, 38, F27, 2, 12) (dual of [(38, 2), 63, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,63P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2797, 265722, F27, 2, 25) (dual of [(265722, 2), 531347, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2797, 531444, F27, 25) (dual of [531444, 531347, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2797, 531445, F27, 25) (dual of [531445, 531348, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(2797, 531441, F27, 25) (dual of [531441, 531344, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2793, 531441, F27, 24) (dual of [531441, 531348, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(24) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(2797, 531445, F27, 25) (dual of [531445, 531348, 26]-code), using
- OOA 2-folding [i] based on linear OA(2797, 531444, F27, 25) (dual of [531444, 531347, 26]-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(27110, 44293, F27, 26, 25) (dual of [(44293, 26), 1151508, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |