Information on Result #733792
Linear OA(32101, 1156, F32, 36) (dual of [1156, 1055, 37]-code), using (u, u+v)-construction based on
- linear OA(3229, 120, F32, 18) (dual of [120, 91, 19]-code), using
- extended algebraic-geometric code AGe(F,101P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3272, 1036, F32, 36) (dual of [1036, 964, 37]-code), using
- construction XX applied to C1 = C([1022,33]), C2 = C([4,34]), C3 = C1 + C2 = C([4,33]), and C∩ = C1 ∩ C2 = C([1022,34]) [i] based on
- linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {4,5,…,34}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {4,5,…,33}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(324, 11, F32, 4) (dual of [11, 7, 5]-code or 11-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([1022,33]), C2 = C([4,34]), C3 = C1 + C2 = C([4,33]), and C∩ = C1 ∩ C2 = C([1022,34]) [i] based on
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(32101, 578, F32, 2, 36) (dual of [(578, 2), 1055, 37]-NRT-code) | [i] | OOA Folding | |