Information on Result #1579957
Linear OOA(3185, 963, F3, 4, 38) (dual of [(963, 4), 3667, 39]-NRT-code), using OOA 2-folding based on linear OOA(3185, 1926, F3, 2, 38) (dual of [(1926, 2), 3667, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3185, 1927, F3, 2, 38) (dual of [(1927, 2), 3669, 39]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3185, 1927, F3, 38) (dual of [1927, 1742, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(3185, 2219, F3, 38) (dual of [2219, 2034, 39]-code), using
- construction XX applied to Ce(37) ⊂ Ce(33) ⊂ Ce(31) [i] based on
- linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3148, 2187, F3, 32) (dual of [2187, 2039, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(36, 29, F3, 3) (dual of [29, 23, 4]-code or 29-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
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- Reed–Solomon code RS(2,3) [i]
- construction XX applied to Ce(37) ⊂ Ce(33) ⊂ Ce(31) [i] based on
- discarding factors / shortening the dual code based on linear OA(3185, 2219, F3, 38) (dual of [2219, 2034, 39]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3185, 1927, F3, 38) (dual of [1927, 1742, 39]-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.