Information on Result #1324148
Linear OA(4229, 65589, F4, 36) (dual of [65589, 65360, 37]-code), using construction X with Varšamov bound based on
- linear OA(4226, 65585, F4, 36) (dual of [65585, 65359, 37]-code), using
- construction X applied to Ce(36) ⊂ Ce(29) [i] based on
- linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(49, 49, F4, 5) (dual of [49, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(49, 51, F4, 5) (dual of [51, 42, 6]-code), using
- construction X applied to Ce(36) ⊂ Ce(29) [i] based on
- linear OA(4226, 65586, F4, 33) (dual of [65586, 65360, 34]-code), using Gilbert–Varšamov bound and bm = 4226 > Vbs−1(k−1) = 95 992840 082746 826822 432060 629712 782187 628017 842744 596946 823903 133964 503349 454065 480612 183435 444288 812529 192810 054328 470154 443484 135239 [i]
- linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [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
None.