Information on Result #1621826
Linear OOA(3157, 897, F3, 5, 32) (dual of [(897, 5), 4328, 33]-NRT-code), using OOA 2-folding based on linear OOA(3157, 1794, F3, 3, 32) (dual of [(1794, 3), 5225, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3157, 1795, F3, 3, 32) (dual of [(1795, 3), 5228, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3157, 1795, F3, 32) (dual of [1795, 1638, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3157, 2219, F3, 32) (dual of [2219, 2062, 33]-code), using
- construction XX applied to Ce(31) ⊂ Ce(27) ⊂ Ce(25) [i] based on
- 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(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(31) ⊂ Ce(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(3157, 2219, F3, 32) (dual of [2219, 2062, 33]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3157, 1795, F3, 32) (dual of [1795, 1638, 33]-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.