Information on Result #692708
Linear OA(1691, 260, F16, 53) (dual of [260, 169, 54]-code), using construction X applied to Ce(52) ⊂ Ce(50) based on
- linear OA(1690, 256, F16, 53) (dual of [256, 166, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(1687, 256, F16, 51) (dual of [256, 169, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(161, 4, F16, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 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 OA(1691, 260, F16, 52) (dual of [260, 169, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(1690, 259, F16, 52) (dual of [259, 169, 53]-code) | [i] | Truncation | |
| 3 | Linear OA(1689, 258, F16, 51) (dual of [258, 169, 52]-code) | [i] | ||
| 4 | Linear OOA(1691, 130, F16, 2, 53) (dual of [(130, 2), 169, 54]-NRT-code) | [i] | OOA Folding | |