Information on Result #737430
Linear OA(4253, 1054, F4, 67) (dual of [1054, 801, 68]-code), using construction XX applied to Ce(68) ⊂ Ce(60) ⊂ Ce(58) based on
- linear OA(4241, 1024, F4, 69) (dual of [1024, 783, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [i]
- linear OA(4226, 1024, F4, 61) (dual of [1024, 798, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(4221, 1024, F4, 59) (dual of [1024, 803, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(48, 26, F4, 5) (dual of [26, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 27, F4, 5) (dual of [27, 19, 6]-code), using
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- Reed–Solomon code RS(3,4) [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 OOA(4253, 527, F4, 2, 67) (dual of [(527, 2), 801, 68]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4253, 351, F4, 3, 67) (dual of [(351, 3), 800, 68]-NRT-code) | [i] | ||