Information on Result #900708
Linear OOA(2790, 4194393, F27, 2, 16) (dual of [(4194393, 2), 8388696, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2714, 92, F27, 2, 8) (dual of [(92, 2), 170, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2714, 184, F27, 8) (dual of [184, 170, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(2714, 183, F27, 8) (dual of [183, 169, 9]-code), using an extension Ce(7) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2713, 183, F27, 7) (dual of [183, 170, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 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(7) ⊂ Ce(6) [i] based on
- OOA 2-folding [i] based on linear OA(2714, 184, F27, 8) (dual of [184, 170, 9]-code), using
- linear OOA(2776, 4194301, F27, 2, 16) (dual of [(4194301, 2), 8388526, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2776, 8388602, F27, 16) (dual of [8388602, 8388526, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2776, large, F27, 16) (dual of [large, large−76, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2776, large, F27, 16) (dual of [large, large−76, 17]-code), using
- OOA 2-folding [i] based on linear OA(2776, 8388602, F27, 16) (dual of [8388602, 8388526, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2790, 1048598, F27, 18, 16) (dual of [(1048598, 18), 18874674, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |