Information on Result #906793
Linear OOA(2765, 265806, F27, 2, 14) (dual of [(265806, 2), 531547, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2712, 84, F27, 2, 7) (dual of [(84, 2), 156, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;54,27) [i]
- linear OOA(273, 28, F27, 2, 3) (dual of [(28, 2), 53, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;53,27) [i]
- linear OOA(277, 28, F27, 2, 7) (dual of [(28, 2), 49, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;49,27) [i]
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2753, 265722, F27, 2, 14) (dual of [(265722, 2), 531391, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2753, 531444, F27, 14) (dual of [531444, 531391, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2753, 531445, F27, 14) (dual of [531445, 531392, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(2753, 531441, F27, 14) (dual of [531441, 531388, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2749, 531441, F27, 13) (dual of [531441, 531392, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(2753, 531445, F27, 14) (dual of [531445, 531392, 15]-code), using
- OOA 2-folding [i] based on linear OA(2753, 531444, F27, 14) (dual of [531444, 531391, 15]-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.