Information on Result #681876
Linear OA(4187, 197, F4, 131) (dual of [197, 10, 132]-code), using construction X applied to Ce(130) ⊂ Ce(129) based on
- linear OA(4187, 196, F4, 131) (dual of [196, 9, 132]-code), using an extension Ce(130) of the narrow-sense BCH-code C(I) with length 195 | 46−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [i]
- linear OA(4186, 196, F4, 130) (dual of [196, 10, 131]-code), using an extension Ce(129) of the narrow-sense BCH-code C(I) with length 195 | 46−1, defining interval I = [1,129], and designed minimum distance d ≥ |I|+1 = 130 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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(4187, 197, F4, 130) (dual of [197, 10, 131]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4187, 197, F4, 129) (dual of [197, 10, 130]-code) | [i] | ||
| 3 | Linear OA(4187, 197, F4, 128) (dual of [197, 10, 129]-code) | [i] | ||
| 4 | Linear OA(4187, 197, F4, 127) (dual of [197, 10, 128]-code) | [i] | ||
| 5 | Linear OA(4187, 197, F4, 126) (dual of [197, 10, 127]-code) | [i] | ||
| 6 | Linear OA(4187, 197, F4, 125) (dual of [197, 10, 126]-code) | [i] | ||
| 7 | Linear OA(4187, 197, F4, 124) (dual of [197, 10, 125]-code) | [i] | ||
| 8 | Linear OA(4187, 197, F4, 123) (dual of [197, 10, 124]-code) | [i] | ||
| 9 | Linear OA(4188, 198, F4, 131) (dual of [198, 10, 132]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(4189, 199, F4, 131) (dual of [199, 10, 132]-code) | [i] | ||
| 11 | Linear OA(4190, 200, F4, 131) (dual of [200, 10, 132]-code) | [i] | ||
| 12 | Linear OA(4191, 201, F4, 131) (dual of [201, 10, 132]-code) | [i] | ||
| 13 | Linear OA(4192, 202, F4, 131) (dual of [202, 10, 132]-code) | [i] | ||
| 14 | Linear OA(4185, 195, F4, 129) (dual of [195, 10, 130]-code) | [i] | Truncation | |
| 15 | Linear OA(4184, 194, F4, 128) (dual of [194, 10, 129]-code) | [i] | ||
| 16 | Linear OA(4183, 193, F4, 127) (dual of [193, 10, 128]-code) | [i] | ||
| 17 | Linear OA(4182, 192, F4, 126) (dual of [192, 10, 127]-code) | [i] | ||
| 18 | Linear OA(4181, 191, F4, 125) (dual of [191, 10, 126]-code) | [i] | ||
| 19 | Linear OA(4180, 190, F4, 124) (dual of [190, 10, 125]-code) | [i] | ||
| 20 | Linear OA(4179, 189, F4, 123) (dual of [189, 10, 124]-code) | [i] | ||
| 21 | Linear OA(4178, 188, F4, 122) (dual of [188, 10, 123]-code) | [i] | ||
| 22 | Linear OA(4177, 187, F4, 121) (dual of [187, 10, 122]-code) | [i] | ||
| 23 | Linear OA(4176, 186, F4, 120) (dual of [186, 10, 121]-code) | [i] | ||
| 24 | Linear OA(4175, 185, F4, 119) (dual of [185, 10, 120]-code) | [i] | ||
| 25 | Linear OA(4174, 184, F4, 118) (dual of [184, 10, 119]-code) | [i] | ||
| 26 | Linear OA(4173, 183, F4, 117) (dual of [183, 10, 118]-code) | [i] | ||
| 27 | Linear OA(4172, 182, F4, 116) (dual of [182, 10, 117]-code) | [i] | ||
| 28 | Linear OA(4171, 181, F4, 115) (dual of [181, 10, 116]-code) | [i] | ||
| 29 | Linear OA(4169, 179, F4, 113) (dual of [179, 10, 114]-code) | [i] | ||
| 30 | Linear OA(4168, 178, F4, 112) (dual of [178, 10, 113]-code) | [i] | ||
| 31 | Linear OA(4167, 177, F4, 111) (dual of [177, 10, 112]-code) | [i] | ||
| 32 | Linear OA(4166, 176, F4, 110) (dual of [176, 10, 111]-code) | [i] | ||
| 33 | Linear OA(4164, 174, F4, 108) (dual of [174, 10, 109]-code) | [i] | ||