Information on Result #1485444
Linear OOA(5109, 6168, F5, 3, 22) (dual of [(6168, 3), 18395, 23]-NRT-code), using OOA 2-folding based on linear OOA(5109, 12336, F5, 2, 22) (dual of [(12336, 2), 24563, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5109, 12337, F5, 2, 22) (dual of [(12337, 2), 24565, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5109, 12337, F5, 22) (dual of [12337, 12228, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(5109, 15651, F5, 22) (dual of [15651, 15542, 23]-code), using
- construction XX applied to Ce(21) ⊂ Ce(17) ⊂ Ce(16) [i] based on
- linear OA(5103, 15625, F5, 22) (dual of [15625, 15522, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(585, 15625, F5, 18) (dual of [15625, 15540, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(54, 24, F5, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,5)), using
- linear OA(50, 2, F5, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to Ce(21) ⊂ Ce(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(5109, 15651, F5, 22) (dual of [15651, 15542, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5109, 12337, F5, 22) (dual of [12337, 12228, 23]-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.