Information on Result #1579832
Linear OOA(3199, 2016, F3, 4, 36) (dual of [(2016, 4), 7865, 37]-NRT-code), using OOA 2-folding based on linear OOA(3199, 4032, F3, 2, 36) (dual of [(4032, 2), 7865, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3199, 4032, F3, 36) (dual of [4032, 3833, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(3199, 6591, F3, 36) (dual of [6591, 6392, 37]-code), using
- construction X applied to Ce(36) ⊂ Ce(31) [i] based on
- linear OA(3193, 6561, F3, 37) (dual of [6561, 6368, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(36) ⊂ Ce(31) [i] based on
- discarding factors / shortening the dual code based on linear OA(3199, 6591, F3, 36) (dual of [6591, 6392, 37]-code), using
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.