Information on Result #1410958
Linear OOA(3144, 740, F3, 2, 35) (dual of [(740, 2), 1336, 36]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3144, 740, F3, 35) (dual of [740, 596, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(3144, 757, F3, 35) (dual of [757, 613, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(28) [i] based on
- linear OA(3136, 729, F3, 35) (dual of [729, 593, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3112, 729, F3, 29) (dual of [729, 617, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- construction X applied to Ce(34) ⊂ Ce(28) [i] based on
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.