Information on Result #865706
Linear OOA(2798, 265776, F27, 2, 21) (dual of [(265776, 2), 531454, 22]-NRT-code), using OOA 2-folding based on linear OA(2798, 531552, F27, 21) (dual of [531552, 531454, 22]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2717, 107, F27, 10) (dual of [107, 90, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(2717, 105, F27, 10) (dual of [105, 88, 11]-code), using an extension Ce(9) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2715, 105, F27, 9) (dual of [105, 90, 10]-code), using an extension Ce(8) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 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(9) ⊂ Ce(8) [i] 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 (see above)
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(2717, 107, F27, 10) (dual of [107, 90, 11]-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.