Information on Result #674152
Linear OA(275, 82, F2, 39) (dual of [82, 7, 40]-code), using construction X applied to Ce(62) ⊂ Ce(30) based on
- linear OA(263, 64, F2, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,2)), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(257, 64, F2, 31) (dual of [64, 7, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(212, 18, F2, 7) (dual of [18, 6, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(274, 81, F2, 38) (dual of [81, 7, 39]-code) | [i] | Truncation | |
| 2 | Linear OOA(275, 41, F2, 2, 39) (dual of [(41, 2), 7, 40]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(275, 27, F2, 3, 39) (dual of [(27, 3), 6, 40]-NRT-code) | [i] | ||