Information on Result #2204541
Linear OA(4190, 271, F4, 89) (dual of [271, 81, 90]-code), using strength reduction based on linear OA(4190, 271, F4, 90) (dual of [271, 81, 91]-code), using
- construction X applied to Ce(89) ⊂ Ce(84) [i] based on
- linear OA(4184, 256, F4, 90) (dual of [256, 72, 91]-code), using an extension Ce(89) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,89], and designed minimum distance d ≥ |I|+1 = 90 [i]
- linear OA(4175, 256, F4, 85) (dual of [256, 81, 86]-code), using an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(46, 15, F4, 4) (dual of [15, 9, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-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(4187, 268, F4, 86) (dual of [268, 81, 87]-code) | [i] | Truncation | |
| 2 | Linear OA(4184, 265, F4, 83) (dual of [265, 81, 84]-code) | [i] | ||
| 3 | Linear OA(4183, 264, F4, 82) (dual of [264, 81, 83]-code) | [i] | ||
| 4 | Linear OA(4182, 263, F4, 81) (dual of [263, 81, 82]-code) | [i] | ||
| 5 | Linear OA(4180, 261, F4, 79) (dual of [261, 81, 80]-code) | [i] | ||
| 6 | Linear OA(4179, 260, F4, 78) (dual of [260, 81, 79]-code) | [i] | ||
| 7 | Linear OA(4178, 259, F4, 77) (dual of [259, 81, 78]-code) | [i] | ||
| 8 | Linear OA(4177, 258, F4, 76) (dual of [258, 81, 77]-code) | [i] | ||