Information on Result #692695
Linear OA(16116, 260, F16, 70) (dual of [260, 144, 71]-code), using construction X applied to Ce(69) ⊂ Ce(67) based on
- linear OA(16115, 256, F16, 70) (dual of [256, 141, 71]-code), using an extension Ce(69) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,69], and designed minimum distance d ≥ |I|+1 = 70 [i]
- linear OA(16112, 256, F16, 68) (dual of [256, 144, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [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(16116, 260, F16, 69) (dual of [260, 144, 70]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(16119, 263, F16, 70) (dual of [263, 144, 71]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(16115, 259, F16, 69) (dual of [259, 144, 70]-code) | [i] | Truncation | |
| 4 | Linear OA(16114, 258, F16, 68) (dual of [258, 144, 69]-code) | [i] | ||
| 5 | Linear OA(16111, 255, F16, 65) (dual of [255, 144, 66]-code) | [i] | ||
| 6 | Linear OA(16110, 254, F16, 64) (dual of [254, 144, 65]-code) | [i] | ||
| 7 | Linear OA(16109, 253, F16, 63) (dual of [253, 144, 64]-code) | [i] | ||
| 8 | Linear OA(16120, 266, F16, 70) (dual of [266, 146, 71]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OOA(16116, 130, F16, 2, 70) (dual of [(130, 2), 144, 71]-NRT-code) | [i] | OOA Folding | |