Information on Result #900977
Linear OOA(27100, 265750, F27, 2, 23) (dual of [(265750, 2), 531400, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2711, 28, F27, 2, 11) (dual of [(28, 2), 45, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;45,27) [i]
- linear OOA(2789, 265722, F27, 2, 23) (dual of [(265722, 2), 531355, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2789, 531444, F27, 23) (dual of [531444, 531355, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2789, 531445, F27, 23) (dual of [531445, 531356, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(2789, 531441, F27, 23) (dual of [531441, 531352, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2785, 531441, F27, 22) (dual of [531441, 531356, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(2789, 531445, F27, 23) (dual of [531445, 531356, 24]-code), using
- OOA 2-folding [i] based on linear OA(2789, 531444, F27, 23) (dual of [531444, 531355, 24]-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.