Information on Result #1300823
Linear OA(4212, 65580, F4, 34) (dual of [65580, 65368, 35]-code), using construction X with Varšamov bound based on
- linear OA(4208, 65575, F4, 34) (dual of [65575, 65367, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(4208, 65576, F4, 30) (dual of [65576, 65368, 31]-code), using Gilbert–Varšamov bound and bm = 4208 > Vbs−1(k−1) = 373 906508 230620 508504 145372 491161 639820 314897 853371 120083 097340 966110 684147 910597 416237 396142 441235 866422 336928 012857 905080 [i]
- linear OA(43, 4, F4, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,4) or 4-cap in PG(2,4)), using
- dual of repetition code with length 4 [i]
- Reed–Solomon code RS(1,4) [i]
Mode: 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(4212, 32790, F4, 2, 34) (dual of [(32790, 2), 65368, 35]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4212, 21860, F4, 3, 34) (dual of [(21860, 3), 65368, 35]-NRT-code) | [i] | ||