Information on Result #900608
Linear OOA(2762, 265770, F27, 2, 14) (dual of [(265770, 2), 531478, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(279, 48, F27, 2, 7) (dual of [(48, 2), 87, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,88P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- 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.