Information on Result #2189125
Linear OA(2254, 264, F2, 126) (dual of [264, 10, 127]-code), using strength reduction based on linear OA(2254, 264, F2, 127) (dual of [264, 10, 128]-code), using
- construction X applied to Ce(126) ⊂ Ce(118) [i] based on
- linear OA(2247, 256, F2, 127) (dual of [256, 9, 128]-code), using an extension Ce(126) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,126], and designed minimum distance d ≥ |I|+1 = 127 [i]
- linear OA(2243, 256, F2, 119) (dual of [256, 13, 120]-code), using an extension Ce(118) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,118], and designed minimum distance d ≥ |I|+1 = 119 [i]
- linear OA(27, 8, F2, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,2)), using
- dual of repetition code with length 8 [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 OA(2253, 263, F2, 125) (dual of [263, 10, 126]-code) | [i] | Truncation | |
| 2 | Linear OA(2252, 262, F2, 124) (dual of [262, 10, 125]-code) | [i] | ||
| 3 | Linear OOA(2254, 132, F2, 2, 126) (dual of [(132, 2), 10, 127]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2254, 88, F2, 3, 126) (dual of [(88, 3), 10, 127]-NRT-code) | [i] | ||