Information on Result #681700
Linear OA(4195, 276, F4, 91) (dual of [276, 81, 92]-code), using construction XX applied to Ce(90) ⊂ Ce(85) ⊂ Ce(84) based on
- linear OA(4188, 256, F4, 91) (dual of [256, 68, 92]-code), using an extension Ce(90) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,90], and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(4176, 256, F4, 86) (dual of [256, 80, 87]-code), using an extension Ce(85) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,85], and designed minimum distance d ≥ |I|+1 = 86 [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, 19, F4, 4) (dual of [19, 13, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(4195, 276, F4, 90) (dual of [276, 81, 91]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4195, 276, F4, 89) (dual of [276, 81, 90]-code) | [i] | ||
| 3 | Linear OA(4195, 276, F4, 88) (dual of [276, 81, 89]-code) | [i] | ||
| 4 | Linear OA(4195, 276, F4, 87) (dual of [276, 81, 88]-code) | [i] | ||
| 5 | Linear OA(4195, 276, F4, 86) (dual of [276, 81, 87]-code) | [i] | ||
| 6 | Linear OA(4196, 277, F4, 91) (dual of [277, 81, 92]-code) | [i] | Code Embedding in Larger Space | |
| 7 | Linear OA(4198, 279, F4, 91) (dual of [279, 81, 92]-code) | [i] | ||
| 8 | Linear OA(4194, 275, F4, 90) (dual of [275, 81, 91]-code) | [i] | Truncation | |
| 9 | Linear OA(4193, 274, F4, 89) (dual of [274, 81, 90]-code) | [i] | ||
| 10 | Linear OA(4192, 273, F4, 88) (dual of [273, 81, 89]-code) | [i] | ||
| 11 | Linear OA(4191, 272, F4, 87) (dual of [272, 81, 88]-code) | [i] | ||
| 12 | Linear OA(4187, 268, F4, 83) (dual of [268, 81, 84]-code) | [i] | ||
| 13 | Linear OA(4184, 265, F4, 80) (dual of [265, 81, 81]-code) | [i] | ||
| 14 | Linear OA(4183, 264, F4, 79) (dual of [264, 81, 80]-code) | [i] | ||
| 15 | Linear OA(4182, 263, F4, 78) (dual of [263, 81, 79]-code) | [i] | ||
| 16 | Linear OOA(4195, 138, F4, 2, 91) (dual of [(138, 2), 81, 92]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(4195, 92, F4, 3, 91) (dual of [(92, 3), 81, 92]-NRT-code) | [i] | ||