Information on Result #674155
Linear OA(258, 68, F2, 29) (dual of [68, 10, 30]-code), using construction X applied to Ce(30) ⊂ Ce(26) based on
- 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(254, 64, F2, 27) (dual of [64, 10, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(21, 4, F2, 1) (dual of [4, 3, 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 OA(258, 68, F2, 28) (dual of [68, 10, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(257, 67, F2, 28) (dual of [67, 10, 29]-code) | [i] | Truncation | |
| 3 | Linear OOA(258, 34, F2, 2, 29) (dual of [(34, 2), 10, 30]-NRT-code) | [i] | OOA Folding | |