Information on Result #682033
Linear OA(420, 68, F4, 9) (dual of [68, 48, 10]-code), using construction X applied to Ce(8) ⊂ Ce(6) based on
- linear OA(419, 64, F4, 9) (dual of [64, 45, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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(4245, 16453, F4, 43) (dual of [16453, 16208, 44]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(4203, 16453, F4, 35) (dual of [16453, 16250, 36]-code) | [i] | ||
| 3 | Linear OA(4249, 4165, F4, 51) (dual of [4165, 3916, 52]-code) | [i] | ||
| 4 | Linear OA(4213, 4165, F4, 43) (dual of [4165, 3952, 44]-code) | [i] | ||
| 5 | Linear OA(4177, 4165, F4, 35) (dual of [4165, 3988, 36]-code) | [i] | ||
| 6 | Linear OA(4252, 16452, F4, 45) (dual of [16452, 16200, 46]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(4231, 16452, F4, 41) (dual of [16452, 16221, 42]-code) | [i] | ||
| 8 | Linear OA(4210, 16452, F4, 37) (dual of [16452, 16242, 38]-code) | [i] | ||
| 9 | Linear OA(4189, 16452, F4, 33) (dual of [16452, 16263, 34]-code) | [i] | ||
| 10 | Linear OA(4168, 16452, F4, 29) (dual of [16452, 16284, 30]-code) | [i] | ||
| 11 | Linear OA(4255, 4164, F4, 52) (dual of [4164, 3909, 53]-code) | [i] | ||
| 12 | Linear OA(4237, 4164, F4, 48) (dual of [4164, 3927, 49]-code) | [i] | ||
| 13 | Linear OA(4231, 4164, F4, 47) (dual of [4164, 3933, 48]-code) | [i] | ||
| 14 | Linear OA(4219, 4164, F4, 44) (dual of [4164, 3945, 45]-code) | [i] | ||
| 15 | Linear OA(4201, 4164, F4, 40) (dual of [4164, 3963, 41]-code) | [i] | ||
| 16 | Linear OA(4195, 4164, F4, 39) (dual of [4164, 3969, 40]-code) | [i] | ||
| 17 | Linear OA(4183, 4164, F4, 36) (dual of [4164, 3981, 37]-code) | [i] | ||
| 18 | Linear OA(4165, 4164, F4, 32) (dual of [4164, 3999, 33]-code) | [i] | ||
| 19 | Linear OA(4159, 4164, F4, 31) (dual of [4164, 4005, 32]-code) | [i] | ||
| 20 | Linear OOA(420, 34, F4, 2, 9) (dual of [(34, 2), 48, 10]-NRT-code) | [i] | OOA Folding | |