Information on Result #674154
Linear OA(268, 75, F2, 35) (dual of [75, 7, 36]-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(25, 11, F2, 3) (dual of [11, 6, 4]-code or 11-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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(267, 74, F2, 34) (dual of [74, 7, 35]-code) | [i] | Truncation | |
| 2 | Linear OA(266, 73, F2, 33) (dual of [73, 7, 34]-code) | [i] | ||
| 3 | Linear OA(2194, 202, F2, 98) (dual of [202, 8, 99]-code) | [i] | Construction X with Cyclic Codes | |
| 4 | Linear OOA(268, 37, F2, 2, 35) (dual of [(37, 2), 6, 36]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(268, 25, F2, 3, 35) (dual of [(25, 3), 7, 36]-NRT-code) | [i] | ||
| 6 | Linear OOA(268, 15, F2, 5, 35) (dual of [(15, 5), 7, 36]-NRT-code) | [i] | ||