Information on Result #2219739
Linear OA(254, 70, F2, 24) (dual of [70, 16, 25]-code), using 1 times truncation based on linear OA(255, 71, F2, 25) (dual of [71, 16, 26]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- 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(248, 64, F2, 23) (dual of [64, 16, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 7, F2, 1) (dual of [7, 6, 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(2192, 207, F2, 74) (dual of [207, 15, 75]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(2190, 204, F2, 74) (dual of [204, 14, 75]-code) | [i] | ||
| 3 | Linear OA(2188, 201, F2, 74) (dual of [201, 13, 75]-code) | [i] | ||
| 4 | Linear OA(2186, 198, F2, 74) (dual of [198, 12, 75]-code) | [i] | ||
| 5 | Linear OOA(254, 35, F2, 2, 24) (dual of [(35, 2), 16, 25]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(254, 23, F2, 3, 24) (dual of [(23, 3), 15, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(254, 14, F2, 5, 24) (dual of [(14, 5), 16, 25]-NRT-code) | [i] | ||