Information on Result #1643660
Linear OOA(3132, 703, F3, 5, 32) (dual of [(703, 5), 3383, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3132, 703, F3, 32) (dual of [703, 571, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3132, 757, F3, 32) (dual of [757, 625, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- linear OA(3124, 729, F3, 32) (dual of [729, 605, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3103, 729, F3, 26) (dual of [729, 626, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(31) ⊂ Ce(25) [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.