MinT - Information on Result #2243498

Information on Result #2243498

Linear OA(4²³⁷, 309, F₄, 115) (dual of [309, 72, 116]-code), using 1 times truncation based on linear OA(4²³⁸, 310, F₄, 116) (dual of [310, 72, 117]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁸, 62, F₆₄, 38) (dual of [62, 24, 39]-code or 62-arc in PG(37,64)), using
  - discarding factors / shortening the dual code based on linear OA(64³⁸, 64, F₆₄, 38) (dual of [64, 26, 39]-code or 64-arc in PG(37,64)), using
    - Reedâ€“Solomon code RS(26,64) [i]
2. linear OA(4², 5, F₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
  - extended Reedâ€“Solomon code RS_e(3,4) [i]
  - Hamming code H(2,4) [i]

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(4²³⁷, 154, F₄, 2, 115) (dual of [(154, 2), 71, 116]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4²³⁷, 103, F₄, 3, 115) (dual of [(103, 3), 72, 116]-NRT-code)	[i]		OOA Folding