Information on Result #900911
Linear OOA(2795, 265786, F27, 2, 21) (dual of [(265786, 2), 531477, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2714, 64, F27, 2, 10) (dual of [(64, 2), 114, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,117P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, 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(2795, 53157, F27, 22, 21) (dual of [(53157, 22), 1169359, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |