Information on Result #737378
Linear OA(4249, 1047, F4, 67) (dual of [1047, 798, 68]-code), using construction X applied to Ce(68) ⊂ Ce(60) based on
- linear OA(4241, 1024, F4, 69) (dual of [1024, 783, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(4226, 1024, F4, 61) (dual of [1024, 798, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(48, 23, F4, 5) (dual of [23, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 27, F4, 5) (dual of [27, 19, 6]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4249, 1047, F4, 66) (dual of [1047, 798, 67]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4248, 1046, F4, 66) (dual of [1046, 798, 67]-code) | [i] | Truncation | |
| 3 | Linear OOA(4249, 523, F4, 2, 67) (dual of [(523, 2), 797, 68]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4249, 349, F4, 3, 67) (dual of [(349, 3), 798, 68]-NRT-code) | [i] | ||