Information on Result #700191
Linear OA(12831, 387, F128, 18) (dual of [387, 356, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(12830, 382, F128, 18) (dual of [382, 352, 19]-code), using an extension Ce(17) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12826, 382, F128, 16) (dual of [382, 356, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12831, 193, F128, 2, 18) (dual of [(193, 2), 355, 19]-NRT-code) | [i] | OOA Folding | |