Information on Result #673989
Linear OA(265, 136, F2, 21) (dual of [136, 71, 22]-code), using construction X applied to Ce(20) ⊂ Ce(18) based on
- linear OA(264, 128, F2, 21) (dual of [128, 64, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(257, 128, F2, 19) (dual of [128, 71, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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 OA(265, 136, F2, 20) (dual of [136, 71, 21]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(266, 137, F2, 21) (dual of [137, 71, 22]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(267, 138, F2, 21) (dual of [138, 71, 22]-code) | [i] | ||
| 4 | Linear OA(268, 139, F2, 21) (dual of [139, 71, 22]-code) | [i] | ||
| 5 | Linear OA(264, 135, F2, 20) (dual of [135, 71, 21]-code) | [i] | Truncation | |
| 6 | Linear OOA(265, 68, F2, 2, 21) (dual of [(68, 2), 71, 22]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(265, 45, F2, 3, 21) (dual of [(45, 3), 70, 22]-NRT-code) | [i] | ||
| 8 | Linear OOA(265, 34, F2, 4, 21) (dual of [(34, 4), 71, 22]-NRT-code) | [i] | ||