Information on Result #682031
Linear OA(422, 67, F4, 10) (dual of [67, 45, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- linear OA(422, 64, F4, 10) (dual of [64, 42, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 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(40, 3, F4, 0) (dual of [3, 3, 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(427, 95, F4, 10) (dual of [95, 68, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(4143, 1090, F4, 32) (dual of [1090, 947, 33]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(4158, 1090, F4, 36) (dual of [1090, 932, 37]-code) | [i] | ||
| 4 | Linear OA(4173, 1090, F4, 40) (dual of [1090, 917, 41]-code) | [i] | ||
| 5 | Linear OA(4188, 1090, F4, 44) (dual of [1090, 902, 45]-code) | [i] | ||
| 6 | Linear OA(4203, 1090, F4, 48) (dual of [1090, 887, 49]-code) | [i] | ||
| 7 | Linear OA(4218, 1090, F4, 52) (dual of [1090, 872, 53]-code) | [i] | ||
| 8 | Linear OA(4233, 1090, F4, 56) (dual of [1090, 857, 57]-code) | [i] | ||
| 9 | Linear OA(4248, 1090, F4, 60) (dual of [1090, 842, 61]-code) | [i] | ||
| 10 | Linear OA(4257, 4163, F4, 53) (dual of [4163, 3906, 54]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 11 | Linear OA(4245, 4163, F4, 50) (dual of [4163, 3918, 51]-code) | [i] | ||
| 12 | Linear OA(4239, 4163, F4, 49) (dual of [4163, 3924, 50]-code) | [i] | ||
| 13 | Linear OA(4227, 4163, F4, 46) (dual of [4163, 3936, 47]-code) | [i] | ||
| 14 | Linear OA(4221, 4163, F4, 45) (dual of [4163, 3942, 46]-code) | [i] | ||
| 15 | Linear OA(4209, 4163, F4, 42) (dual of [4163, 3954, 43]-code) | [i] | ||
| 16 | Linear OA(4203, 4163, F4, 41) (dual of [4163, 3960, 42]-code) | [i] | ||
| 17 | Linear OA(4191, 4163, F4, 38) (dual of [4163, 3972, 39]-code) | [i] | ||
| 18 | Linear OA(4185, 4163, F4, 37) (dual of [4163, 3978, 38]-code) | [i] | ||
| 19 | Linear OA(4173, 4163, F4, 34) (dual of [4163, 3990, 35]-code) | [i] | ||
| 20 | Linear OA(4167, 4163, F4, 33) (dual of [4163, 3996, 34]-code) | [i] | ||
| 21 | Linear OA(4248, 1091, F4, 60) (dual of [1091, 843, 61]-code) | [i] | ||
| 22 | Linear OA(4233, 1091, F4, 56) (dual of [1091, 858, 57]-code) | [i] | ||
| 23 | Linear OA(4218, 1091, F4, 52) (dual of [1091, 873, 53]-code) | [i] | ||
| 24 | Linear OA(4203, 1091, F4, 48) (dual of [1091, 888, 49]-code) | [i] | ||
| 25 | Linear OA(4188, 1091, F4, 44) (dual of [1091, 903, 45]-code) | [i] | ||
| 26 | Linear OA(4173, 1091, F4, 40) (dual of [1091, 918, 41]-code) | [i] | ||
| 27 | Linear OA(4158, 1091, F4, 36) (dual of [1091, 933, 37]-code) | [i] | ||
| 28 | Linear OA(4143, 1091, F4, 32) (dual of [1091, 948, 33]-code) | [i] | ||
| 29 | Linear OOA(422, 33, F4, 2, 10) (dual of [(33, 2), 44, 11]-NRT-code) | [i] | OOA Folding | |