Information on Result #2223233
Linear OA(2123, 258, F2, 32) (dual of [258, 135, 33]-code), using 1 times truncation based on linear OA(2124, 259, F2, 33) (dual of [259, 135, 34]-code), using
- construction X applied to C([239,16]) ⊂ C([243,16]) [i] based on
- linear OA(2121, 255, F2, 33) (dual of [255, 134, 34]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−16,−15,…,16}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2113, 255, F2, 29) (dual of [255, 142, 30]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−12,−11,…,16}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(23, 4, F2, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,2) or 4-cap in PG(2,2)), using
- dual of repetition code with length 4 [i]
- caps in base b = 2 [i]
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(2123, 129, F2, 2, 32) (dual of [(129, 2), 135, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2123, 86, F2, 3, 32) (dual of [(86, 3), 135, 33]-NRT-code) | [i] | ||