Information on Result #904385
Linear OOA(8144, 265822, F81, 2, 13) (dual of [(265822, 2), 531600, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(817, 100, F81, 2, 6) (dual of [(100, 2), 193, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,193P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8137, 265722, F81, 2, 13) (dual of [(265722, 2), 531407, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 531444, F81, 13) (dual of [531444, 531407, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(8134, 531441, F81, 12) (dual of [531441, 531407, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(8137, 531444, F81, 13) (dual of [531444, 531407, 14]-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(8144, 132911, F81, 4, 13) (dual of [(132911, 4), 531600, 14]-NRT-code) | [i] | OOA Folding | |