Information on Result #674170
Linear OA(220, 72, F2, 7) (dual of [72, 52, 8]-code), using construction X4 applied to Ce(6) ⊂ Ce(4) based on
- linear OA(219, 64, F2, 7) (dual of [64, 45, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(213, 64, F2, 5) (dual of [64, 51, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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]
- linear OA(21, 8, F2, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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.
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 OOA(220, 36, F2, 2, 7) (dual of [(36, 2), 52, 8]-NRT-code) | [i] | OOA Folding | |