Information on Result #900792
Linear OOA(2779, 265760, F27, 2, 18) (dual of [(265760, 2), 531441, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2710, 38, F27, 2, 9) (dual of [(38, 2), 66, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,66P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OOA(2769, 265722, F27, 2, 18) (dual of [(265722, 2), 531375, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2769, 531444, F27, 18) (dual of [531444, 531375, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2769, 531445, F27, 18) (dual of [531445, 531376, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(2769, 531441, F27, 18) (dual of [531441, 531372, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2765, 531441, F27, 17) (dual of [531441, 531376, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(2769, 531445, F27, 18) (dual of [531445, 531376, 19]-code), using
- OOA 2-folding [i] based on linear OA(2769, 531444, F27, 18) (dual of [531444, 531375, 19]-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
None.